Worksheet with AI-related percentage word problems for educational use.

Let’s solve each problem one by one, step by step. I’ll show all the math clearly so you can follow along.

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Problem 1: Startups

A startup raised $1,500,000. They used 35% for research and development. How much was allocated?

→ 35% of $1,500,000 = (35/100) × 1,500,000
= 0.35 × 1,500,000
= $525,000

✔ Check: 10% is 150,000 → 30% is 450,000 → 5% is 75,000 → total 525,000 ✔️

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Problem 2: AI Accuracy

AI identified 85% of images correctly. Total images = 500.

→ 85% of 500 = (85/100) × 500
= 0.85 × 500
= 425 images

✔ Check: 10% of 500 = 50 → 80% = 400 → 5% = 25 → total 425 ✔️

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Problem 3: Job Growth

Field grows by 20%. Currently 10,000 professionals.

→ New jobs = 20% of 10,000 = (20/100) × 10,000
= 0.20 × 10,000
= 2,000 new job opportunities

✔ Check: 10% = 1,000 → 20% = 2,000 ✔️

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Problem 4: AI Training

Total images = 800. 40% are “cat”. Rest are “dog”.

→ Cat images = 40% of 800 = 0.40 × 800 = 320
→ Dog images = 800 - 320 = 480

OR: 60% are dog → 0.60 × 800 = 480

✔ Both ways give same answer ✔️

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Problem 5: Performance

Accuracy = 92%. Total questions = 300.

→ Correct answers = 92% of 300 = 0.92 × 300
= Let’s break it down:
90% of 300 = 270
2% of 300 = 6
Total = 270 + 6 = 276

✔ Or: 0.92 × 300 = 276 ✔️

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Problem 6: Algorithms

Energy consumption reduced by 15%. Current = 800 kWh/month.

→ Savings = 15% of 800 = 0.15 × 800
= 10% = 80, 5% = 40 → total 120
= 120 kilowatt-hours saved per month

✔ 0.15 × 800 = 120 ✔️

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Problem 7: Market Share

Company A has 35%, Company B has 20%. Total market size = $10 million.

→ Revenue for Company A = 35% of 10,000,000 = 0.35 × 10,000,000 = $3,500,000

✔ 10% = 1M → 30% = 3M → 5% = 0.5M → total 3.5M ✔️

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Problem 8: Training Time

Total time = 12 hours. 60% spent on data preprocessing.

→ Preprocessing time = 60% of 12 = 0.60 × 12
= 6 × 1.2 = wait — better:
10% of 12 = 1.2 → 60% = 6 × 1.2 = 7.2 hours

✔ 0.6 × 12 = 7.2 ✔️

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Problem 9: Accuracy Improvement

Initial accuracy = 75%. Increased by 20%.

Wait — important! Is it increased BY 20 percentage points? Or increased BY 20% OF the original?

In context, since it says “increased by 20%”, and not “to 95%” or “by 20 percentage points”, we assume it means 20% OF the original value.

So:

Increase = 20% of 75 = 0.20 × 75 = 15

New accuracy = 75 + 15 = 90%

✔ But let’s double-check wording: “accuracy increased by 20%” — in tech/AI contexts, this usually means relative increase, not absolute. So yes, 75 + (20% of 75) = 90%.

If it meant 20 percentage points, it would say “increased to 95%” or “by 20 percentage points”. Since it doesn’t, we go with 90%.

✔️ Final: 90%

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Problem 10: Error Rate

Error rate = 5%. Processes 1,000 transactions.

→ Expected errors = 5% of 1,000 = 0.05 × 1,000 = 50 transactions

✔ Simple: 1% = 10 → 5% = 50 ✔️

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Final Answer:
1. $525,000
2. 425 images
3. 2,000 new jobs
4. 480 images labeled as "dog"
5. 276 questions answered correctly
6. 120 kilowatt-hours saved per month
7. $3,500,000
8. 7.2 hours
9. 90%
10. 50 transactions