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Graphic Designer interview questions and answers

30 questions interviewers really ask, with what a strong answer covers. Read them, then test yourself in a timed mock interview.

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Easy questions easy

1. What are the key principles of good graphic design?

A strong answer covers:

  • Hierarchy guides the eye to what matters most
  • Contrast, alignment and proximity create order
  • Consistency and repetition build unity
  • White space and balance improve clarity
  • Design serves the message and audience
Show model answer

For me the most important principle is hierarchy: the viewer should know what to look at first, second and third. I create hierarchy with size, weight, colour and placement. Contrast makes key elements stand out and keeps text readable. Alignment and grids make a layout feel organised, and proximity groups related items so people understand them quickly. Repetition of colours, type and shapes builds consistency and makes a brand recognisable. Balance, symmetrical or not, gives stability, and white space gives the content room to breathe. All of these serve one goal, which is communicating a message clearly to a specific audience. A design can follow every rule and still fail if it does not suit the people it is meant for, so I always start from the brief and audience.

2. Explain the difference between RGB and CMYK. When do you use each?

A strong answer covers:

  • RGB is additive light, used for screens
  • CMYK is subtractive ink, used for print
  • RGB has a wider gamut; bright colours may shift in CMYK
  • Spot colours like Pantone for exact brand matching
Show model answer

RGB stands for red, green and blue. It is an additive model that mixes light, so it is used for anything on a screen, like websites, apps and social media. CMYK stands for cyan, magenta, yellow and key, which is black. It is subtractive, because ink absorbs light on paper, and it is used for printing. RGB can show a wider range of colours, so very bright greens or blues often look duller once converted to CMYK. That is why I set up print projects in CMYK from the start and check colours early. When a brand colour must match exactly across printers and materials, I use a spot colour such as a Pantone reference, with CMYK, RGB and HEX equivalents listed in the brand guidelines.

3. How do you start a new design project after receiving a brief?

A strong answer covers:

  • Read the brief and ask clarifying questions
  • Understand objective, audience, message, deliverables and deadline
  • Research the brand, competitors and references
  • Sketch multiple concepts before going digital
Show model answer

I start by reading the brief carefully and writing down anything unclear. Then I ask the client or account manager questions: what is the main goal, who is the audience, what is the one key message, what formats and sizes are needed, what is the deadline, and are there brand guidelines I must follow. I write the answers back as a short summary so we agree on the target. Next I research the brand, its competitors and the category, and collect references into a mood board. Then I sketch several rough ideas on paper or quickly on screen before committing to one. This keeps me from falling in love with the first idea. Finally I develop the strongest two or three concepts and present them with a short explanation of the thinking.

4. How do you create a clear typographic hierarchy in a layout?

A strong answer covers:

  • Use differences in size, weight and colour
  • Limit typefaces to one or two families
  • Use spacing and leading to group content
  • Keep body text readable in size and line length
Show model answer

I first decide the levels the content needs, for example a headline, subheading, body text and small captions. Then I make each level clearly different using size, weight and sometimes colour, so the reader knows what to read first. I usually keep to one or two type families and use different weights instead of adding more fonts. Spacing is just as important: more space above a heading than below it ties the heading to its paragraph. I set comfortable leading and keep line length around 45 to 75 characters for long text so it is easy to read. I align text to a grid for order. Finally I check the design from a distance or as a small thumbnail. If the main message still stands out, the hierarchy works.

5. Tell me about a project in your portfolio you are proud of.

A strong answer covers:

  • Explain the brief and the problem
  • Describe your process and key decisions
  • Mention challenges and how you solved them
  • Share the outcome or result
Show model answer

One project I am proud of is a brand identity for a small organic tea shop in Pune. The owner wanted to look premium but still friendly, because her customers were young professionals and families. I started by visiting the shop, talking to a few customers and studying local competitors, who mostly used green leaves and generic fonts. I explored three concepts and chose one based on hand-drawn botanical patterns with a warm terracotta colour, which felt different in the category. The challenge was making the detailed pattern work on small labels, so I created a simplified version for small packs. After the rebrand, the owner told me her online orders grew and customers often shared photos of the packaging on Instagram. It taught me how much research shapes good identity work.

6. How do you choose a colour palette for a new brand or project?

A strong answer covers:

  • Start from brand personality, audience and context
  • Research competitors and cultural meanings
  • Use colour harmonies with a dominant colour and accents
  • Build tints, shades and neutrals for real use
  • Check contrast, accessibility and print and screen versions
Show model answer

I start from the brief: the brand personality, the audience and where the colours will be used. A calm financial service and a children's snack brand need very different energy. I look at competitors to find space to stand out, and I check cultural meanings in the target markets. Then I pick one dominant colour, one or two accents and a set of neutrals, often using harmonies like analogous or complementary as a starting point rather than a rule. I build tints and shades so the palette works for backgrounds, text and charts, not just the logo. Before finalising, I check contrast ratios for text combinations and test the colours in real mockups, both on screen and as CMYK or Pantone proofs, so the palette works in every medium.

7. Explain the difference between vector and raster graphics, and when you use each.

A strong answer covers:

  • Vector: shapes defined by maths, scale infinitely
  • Raster: pixels, fixed resolution
  • Vector for logos, icons, illustrations, type
  • Raster for photos and complex textures
  • Common formats and tools for each
Show model answer

Vector graphics are made of paths defined mathematically, so they can scale to any size without losing quality, and files stay small for simple artwork. I use vectors for logos, icons, line illustrations and type, usually in Illustrator, and save them as AI, EPS, PDF or SVG. Raster graphics are grids of pixels, so their quality depends on resolution: enlarge them too much and they become blurry or pixelated. Raster is right for photos and rich textures, edited in Photoshop and saved as PSD, TIFF, JPEG, PNG or WebP depending on use. In practice most projects combine both: a vector logo and type placed over raster photography in an InDesign or Figma layout. The key is to keep master files in the right format and export suitable versions for each output.

8. How do you choose typefaces for a project?

A strong answer covers:

  • Match tone and personality to the brief
  • Legibility in the actual sizes and media
  • Enough weights, styles and language support
  • Pairing with contrast and harmony
  • Licensing for all planned uses
Show model answer

First I think about tone: what should the words feel like? A law firm and a skate brand need different voices, and type carries much of that. Then I test legibility in real conditions, at the actual sizes, on screen and in print, paying attention to x-height, spacing and how numbers look. The family must be practical, with enough weights and italics for a clear hierarchy, and support for every language the brand uses. If I need two typefaces, I pair them with clear contrast, such as a characterful serif for headlines and a clean sans for body, or use a superfamily. Finally I check licensing for desktop, web, app and any other uses, because a font that cannot legally be used everywhere the brand needs it is the wrong choice.

9. What do you keep in mind when designing graphics for social media?

A strong answer covers:

  • Platform formats and safe areas for UI overlays
  • Grab attention quickly with a clear focal point
  • Readable text on small mobile screens, little copy
  • Consistent branding across posts
  • Export settings and accessibility such as alt text and captions
Show model answer

Most people see social content on a phone while scrolling quickly, so each graphic needs one clear focal point and a short message that reads in a second or two. I design for each platform's formats, like square, portrait and vertical story sizes, and keep text and logos inside safe areas so the app interface does not cover them. Text must be large and high contrast on a small screen, and I keep copy minimal, letting the caption carry detail. I use templates and consistent colours, type and image style so posts are recognisable as the brand in a busy feed. For export I use sRGB and the right dimensions, MP4 for animation, and I make sure posts include alt text and that videos have captions for people watching without sound.

10. What should a good creative brief contain, and what do you do if the brief you receive is incomplete?

A strong answer covers:

  • Objective and the problem to solve
  • Target audience and key message
  • Deliverables, formats and mandatory elements
  • Timeline, budget and approval process
  • Ask clarifying questions and confirm in writing
Show model answer

A good brief explains why the project exists: the objective and the problem we are solving, plus how success will be measured. It describes the target audience and the single key message we want them to take away. It lists deliverables with sizes and formats, mandatory elements like logos or legal text, brand guidelines to follow, the budget, the timeline and who approves the work. When a brief is incomplete, I do not guess. I set up a short call and ask specific questions, such as who the audience is, where the design will appear and what the client liked or disliked in past work. Then I summarise the answers in writing and get confirmation before starting, so we both agree on the target and later feedback can be checked against it.

Medium questions medium

1. How do you handle negative or unclear feedback on your work?

A strong answer covers:

  • Stay calm and do not take it personally
  • Ask questions to find the real problem behind the comment
  • Connect feedback back to the brief and goals
  • Explain reasoning, suggest options and confirm next steps
Show model answer

I remind myself that feedback is about the work, not about me. When feedback is unclear, like I do not like it, I ask questions: which part feels wrong, what feeling were you expecting, can you show an example you like. Often the real issue is different from the first comment, for example the client thinks it looks too young for their audience. I connect the discussion back to the brief and goal, which keeps it objective. If I believe a choice is right, I explain my reasoning briefly, but I stay open. Then I summarise the agreed changes in writing so we avoid confusion. When feedback is truly negative, I see it as information that helps me get closer to what the client needs.

2. How do you stay creative while working within strict brand guidelines?

A strong answer covers:

  • Guidelines give consistency and recognition
  • Creativity comes from concept, composition, imagery and copy
  • Explore freedom within allowed elements
  • Suggest guideline updates when there is a real gap
Show model answer

I see brand guidelines as a frame rather than a cage. They protect consistency, which helps people recognise the brand. Inside them there is still a lot of freedom. The idea or concept behind a piece is where most creativity lives, for example a clever visual metaphor for a bank campaign. I can play with composition, cropping, scale and imagery, and work closely with copywriters on the headline. I also look at how the brand system can be pushed, such as using the brand colours in a bolder ratio, while still following the rules. If I find a real gap, like no guidance for a new short video format, I propose an addition to the brand team rather than breaking the rules on my own. Constraints often lead to sharper ideas.

3. You are working on five projects at the same time with different deadlines. How do you manage them?

A strong answer covers:

  • List all tasks with deadlines and effort
  • Prioritise by deadline and impact
  • Use templates and reusable assets to save time
  • Communicate early if deadlines are at risk
Show model answer

I keep all my work in one place, usually a task board like Trello or Asana, with every deliverable, deadline and an estimate of effort. Each morning I review it and plan the day, focusing on what is due soonest and what has the biggest impact. I block focused time for deep creative work, and I group small tasks like resizing or exports together. To save time, I build reusable templates, components and asset libraries, which helps a lot with repeat clients. If I see that two deadlines clash, I tell my manager or the client early and suggest options, like delivering one part first. I never wait until the last day to say something is late. Clear communication is as important as working fast.

4. Describe how you prepare a print-ready file for a brochure.

A strong answer covers:

  • Get specs from the printer first
  • Correct size, bleed, margins and colour mode
  • High-resolution images, fonts embedded or outlined
  • Export press-quality PDF and check a proof
Show model answer

I start by asking the printer for their specifications: page size, bleed, colour profile, paper type and preferred file format. In InDesign I set the document to the final trim size with the required bleed, usually 3 mm, and keep text inside a safe margin. I use CMYK or the agreed spot colours and check that all images are linked, high resolution around 300 ppi at the final size, and in the right colour mode. I check rich black for large areas and plain black for small text. Then I run preflight to catch missing fonts, links or overset text. I export a PDF/X file with crop marks and bleed as requested. Finally I review a printed proof, either digital or physical, before approving the full run.

5. How do you use AI tools in your design workflow, and what are the risks?

A strong answer covers:

  • Useful for ideation, mock-ups, background removal and resizing
  • Human judgement and craft remain essential
  • Risks: copyright, licence terms, quality errors, bias
  • Follow client policy and be transparent
Show model answer

I use AI tools mainly to speed up parts of the work. For example, generative fill in Photoshop for extending backgrounds, quick mood boards and rough concept images, removing backgrounds and resizing assets for many formats. It saves time on repetitive tasks so I can spend more time on the idea and the craft. The risks are real though. Licence terms differ between tools, and some outputs may look like existing artwork or include logos, which is a legal risk. AI images often contain errors in hands, text or product details, so I review everything carefully. Some clients do not allow AI at all, so I always check their policy and I am open about where I used it. AI is a helpful assistant, but the final decisions are mine.

6. Walk me through your process for designing a logo.

A strong answer covers:

  • Discovery: brand, audience, competitors, values
  • Research and moodboards to agree direction
  • Sketch many ideas, then refine the strongest digitally
  • Test at small sizes, in mono and in context
  • Present few directions with rationale, then deliver a full file set
Show model answer

I start with discovery: a questionnaire or workshop about the business, audience, values, competitors and where the logo will appear. I research the category to see the visual clichés to avoid, and sometimes share a moodboard to agree the general direction. Then I sketch widely, often dozens of rough ideas, before choosing the strongest few to build in Illustrator. Each concept is refined for shape, spacing and type, and tested at tiny sizes, in one colour, reversed and on real mockups like signs, apps and packaging. I present two or three distinct directions with a short rationale tied to the brief. After feedback and refinement, I deliver a complete set: colour, mono and reversed versions in vector and raster formats, with basic usage guidance such as clear space and minimum size.

7. How do you present design concepts to a client so the feedback is useful?

A strong answer covers:

  • Restate the brief and goals first
  • Show few strong options in realistic context
  • Explain the rationale behind choices
  • Guide feedback toward goals, not personal taste
  • Summarise decisions and next steps in writing
Show model answer

I never send concepts as bare attachments without context. In the meeting I first restate the brief, the audience and the goals we agreed, so everyone judges the work against the same standard. Then I present two or three strong directions, each shown in realistic mockups, like the packaging on a shelf or the ad on a phone, because people struggle to imagine flat artwork in use. For each I explain the thinking: why this type, colour or image supports the message. When asking for feedback, I ask focused questions like "Which direction best speaks to young parents?" instead of "Do you like it?", and I ask clients to describe problems rather than solutions. Afterwards I send a written summary of decisions, changes and the next date, so there is no confusion.

8. How do you approach a packaging design project?

A strong answer covers:

  • Understand product, audience, retail context and competitors
  • Hierarchy for shelf impact: brand, product, key benefit
  • Work with dielines, materials and printer constraints
  • Mandatory info: legal text, barcode, regulations
  • Prototype physically and test on shelf
Show model answer

I start by understanding the product, the target buyer and where it is sold, then I visit stores or look at online listings to see competitors on the shelf. Packaging has a few seconds to work, so I set a clear hierarchy: brand, what the product is, the key benefit or variant, then supporting details. Early on I get the dieline and material specs from the printer, because the box shape, folds, paper or plastic, and print method like flexo or digital all affect design choices. I plan space for mandatory content such as ingredients, legal text, recycling symbols and the barcode, checking local regulations. I always build physical prototypes, because a design that works flat can fail when folded, and I photograph mockups on a shelf next to competitors before final approval.

9. How do you make your graphic design work accessible to more people?

A strong answer covers:

  • Sufficient colour contrast for text
  • Do not rely on colour alone
  • Readable type sizes, clear fonts and layouts
  • Alt text, captions and tagged PDFs for digital
  • Plain language and testing with real users or tools
Show model answer

I start with contrast: text should meet at least 4.5:1 against its background, or 3:1 for large text, and I check with a contrast tool rather than my eyes. I never use colour alone to carry meaning, so charts get labels or patterns and I preview designs with colour-blindness simulators. I choose legible typefaces, avoid very thin weights and tiny sizes, keep line lengths comfortable and give layouts a clear reading order. For digital work, images need alt text, videos need captions, and PDFs must be tagged with correct structure and reading order so screen readers can use them. I also prefer plain, direct language in headlines and calls to action. Where possible I get feedback from people with disabilities, because guidelines catch many issues but not all.

10. A brand looks different on its website, printed brochures and shop signs. How do you bring colour consistency back?

A strong answer covers:

  • Audit where and how colours differ
  • Define approved values per medium: Pantone C/U, CMYK, RGB, HEX
  • Use colour management: calibrated screens, ICC profiles, proofs
  • Brief vendors with physical swatches and tolerances
  • Update guidelines and approve samples on each material
Show model answer

First I collect real samples of the brand from the website, print, signage and merchandise, and compare them side by side under standard lighting to see where and how far they differ. Usually the cause is that only one colour value was ever defined, and each vendor converted it differently. So I define approved values for each medium: Pantone coated and uncoated, CMYK for process printing, RGB and HEX for screens, all chosen to match visually rather than converted automatically. I make sure our own files use correct ICC profiles and calibrated monitors, and I request proofs for important jobs. Vendors receive physical swatches and acceptable tolerances, and I approve samples on each material, like vinyl or fabric. Finally I update the guidelines so the system lasts beyond this fix.

Hard questions hard

1. You presented three logo concepts and the client rejected all of them. What do you do next?

A strong answer covers:

  • Stay calm and gather specific feedback
  • Find out what is missing compared to the brief
  • Check if the brief itself was unclear or has changed
  • Reset direction with references and agree before new work
Show model answer

First I stay calm and treat it as a learning point. I ask for a short call to understand why each concept did not work: was it the style, colours, the feeling, or something the brief never mentioned. Often the real cause is a gap in the brief, or a new stakeholder who was not involved earlier. I would bring back the brief and check whether goals or audience have changed. Then I run a quick direction exercise, showing visual references in different styles and asking which feel right and which feel wrong. That turns vague taste into a clear direction. I confirm the new direction in writing before designing again. If this means more work than the contract covers, I discuss scope and timing openly, so the relationship stays healthy.

2. A well-known local brand wants to modernise its look without losing existing customers. How would you approach it?

A strong answer covers:

  • Research what customers recognise and value in the current brand
  • Decide what to keep (brand equity) and what to change
  • Evolve rather than replace if equity is strong
  • Test with customers and plan a phased rollout
Show model answer

I would start with research to understand brand equity, meaning which elements customers recognise and trust, for example a colour, a symbol or the shape of the packaging. I would talk to customers and staff, review sales and social media, and look at competitors. Then I would decide with the client what must stay and what can change. If equity is strong, an evolution usually works better than a full redesign, such as cleaning up the logo, updating type and simplifying the colour palette while keeping the core colour. I would test a few directions with real customers to check recognition and appeal. Finally I would create new guidelines and plan a phased rollout, starting with the most visible touchpoints, and explain the change to customers so it feels like progress, not loss.

3. How do you show the business value of your design work?

A strong answer covers:

  • Agree goals and metrics before starting
  • Use measurable results: conversion, CTR, sales, engagement
  • Run tests to compare designs
  • Share results in business language
Show model answer

I try to agree on goals and metrics with the client or marketing team before I start, and record a baseline. For an ad campaign the metric might be click-through rate or cost per lead. For packaging it could be sales in test stores, and for a website banner, conversions. Where possible I suggest A/B testing two creatives so the impact is clear. After launch I ask for the data and write a short summary in business language, for example the new festive creative lowered cost per lead by 18 percent. Some value is harder to measure, like brand consistency, so I also track time saved through templates or fewer print errors. Speaking in outcomes, not just how it looks, builds trust and gets designers involved earlier.

4. Your manager wants a big campaign delivered in half the usual time. How do you protect quality?

A strong answer covers:

  • Clarify the real priorities and must-have deliverables
  • Reduce scope or phase delivery rather than cut quality everywhere
  • Use templates, systems and teamwork to go faster
  • Make risks visible and agree trade-offs early
Show model answer

I would first ask which deliverables are truly needed on day one and which can follow. Usually the key visual and a few main formats matter most. Then I would propose a plan: focus our best effort on the master design, build it as a flexible system with templates so adaptations are fast, and bring in a junior designer or production artist for resizing. I would cut steps that do not add value, like long internal review chains, and agree on one decision maker for quick approvals. I would be honest about risks, for example that we cannot do a custom photo shoot in that time, and offer alternatives like licensed images. By agreeing trade-offs early, quality stays high where it matters and nobody is surprised later.

5. You strongly disagree with your art director about the direction of a campaign. What do you do?

A strong answer covers:

  • Understand their reasoning first
  • Present your view with evidence linked to the brief
  • Offer to show an alternative, not just argue
  • Respect the final decision and commit to it
Show model answer

I would start by understanding their reasoning, because the art director may know things I do not, like client history or brand plans. I would ask questions privately rather than argue in front of others. If I still believe my direction is better, I would explain why using the brief, the audience and any evidence, such as past campaign results or audience research. Instead of only talking, I would offer to quickly mock up my alternative so we can compare both side by side. Sometimes the best answer combines ideas. In the end the art director owns the decision. If they choose their direction, I commit to it fully and make it as strong as possible. Healthy disagreement improves work, but it should never hurt the team.

6. A start-up asks you to create its whole brand identity from scratch. How do you plan and deliver the project?

A strong answer covers:

  • Strategy first: positioning, audience, values, personality
  • Agree direction through research and moodboards
  • Design core system: logo, colour, type, imagery, graphic elements
  • Apply to key touchpoints to test the system
  • Deliver guidelines, assets and templates; plan rollout
Show model answer

I begin with strategy, because an identity expresses something. Through workshops with the founders I clarify positioning, audience, competitors, values and the brand personality, and we agree a short brand statement. Then I create moodboards to align on direction before designing. The identity itself is a system, not just a logo: a logo suite with variations, a colour palette with values for every medium, a typography system, an image and illustration style, and graphic elements like patterns or icons. I test this system early by applying it to real touchpoints such as the website, app icon, social posts, pitch deck and packaging, since weaknesses show up in use. Finally I deliver guidelines, a complete asset library and editable templates, and help plan the launch so the team uses the brand correctly from day one.

7. As a freelance designer, how do you price projects and protect yourself against scope creep?

A strong answer covers:

  • Understand scope and value before quoting
  • Choose pricing model: fixed project, hourly or value-based
  • Written agreement: deliverables, revisions, timeline, rights, payment terms
  • Deposit and milestones
  • Change requests handled with quotes, communicated early
Show model answer

Before quoting I ask enough questions to understand the deliverables, the client's timeline and how important the work is to their business. For defined projects I usually quote a fixed fee, calculated from my estimated hours and day rate plus a buffer, and for larger brand work I consider the value it creates. Every project has a written agreement listing deliverables, the number of revision rounds, the timeline, what the client must provide, payment terms and when rights transfer, usually on full payment. I take a deposit, often 30 to 50 percent, and tie the rest to milestones. When new requests appear, I respond positively but point to the scope and send a short change order with cost and timing before doing the work. This keeps the relationship friendly while protecting my time.

8. You are asked to design a campaign for an audience from a culture you do not know well. How do you make sure the work is respectful and effective?

A strong answer covers:

  • Acknowledge the gap and research deeply
  • Involve people from that culture as collaborators and reviewers
  • Check symbols, colours, imagery, language and layout direction
  • Avoid stereotypes and tokenism
  • Test with the audience before launch
Show model answer

I start by being honest that I am an outsider, which means my instincts may be wrong. I research the culture properly, including its visual traditions, current design scene, symbols and colours with special meanings, and any religious or political sensitivities. Most importantly, I involve people from that culture, ideally local designers, copywriters or community advisers, not just as final checkers but as collaborators who can shape the idea. I pay attention to language and typography, such as proper fonts for the script and right-to-left layouts where needed, and I avoid stereotypes, clichés and decorative use of sacred symbols. Before launch I test the work with members of the target audience and listen carefully to their reactions. If something feels off to them, I change it, even late.

9. A company has 300 employees creating presentations, social posts and flyers without designers, and the brand looks inconsistent. How do you fix this at scale?

A strong answer covers:

  • Audit current materials and common needs
  • Create locked, easy templates in tools people already use
  • Central asset library: logos, photos, icons
  • Short, practical guidelines and training
  • Governance: owners, feedback loop, regular updates
Show model answer

I would begin with an audit: collect what people actually produce and ask them what they need most often and why they break the rules. Usually they are not careless; they lack easy tools. So I create a small set of high-quality templates for the most common needs, like slides, social posts, event flyers and email headers, in the tools they already use such as PowerPoint, Google Slides, Canva or Adobe Express, with logos, fonts and colours locked. A central asset library gives easy access to approved logos, photos and icons. Guidelines should be short and practical, with do and don't examples, supported by a quick training session. Finally I set up governance: a brand owner, a channel for questions, periodic reviews of what is being made, and updates to templates as needs change.

10. Ten thousand brochures have been printed and delivered, and the client finds a wrong phone number that was in your final file. What do you do?

A strong answer covers:

  • Take ownership quickly and calmly
  • Check the facts: approvals, proofs, where the error came from
  • Offer options: reprint, stickers, digital fix, costs and timing
  • Agree a fair cost split based on responsibilities
  • Improve process: proof checklists, sign-off, second checks
Show model answer

First I respond quickly and calmly, without blaming anyone, and say I will help fix it. Then I check the facts: where the number came from, whether it was in the copy the client supplied and whether they signed off the proof, because this affects who should pay. Next I offer practical options with costs and timing, such as a full reprint, printed correction stickers, inserting a correction slip, or redirecting calls if the number belongs to the client. If the error was mine, I cover my part, for example a discount or the design time for the correction. If it came from approved client copy, I explain that gently while still helping. Afterwards I improve my process: a final proof checklist for contact details and prices, a clear written sign-off and a second person checking critical facts.