Numerical Reasoning Percentage and Ratio Problems 2 — Questions and Answers
Question 1: A mixture contains flour and sugar in the ratio 7:3. If there are 210 grams of flour, how many grams of sugar are there?
- 90g (Correct answer)
- 70g
- 100g
- 80g
Correct answer: 90g
If flour = 7 parts = 210g, then 1 part = 30g; sugar = 3 parts = 90g.
Question 2: After a 20% price increase, a product costs $96. What was the original price?
- $80 (Correct answer)
- $76
- $84
- $72
Correct answer: $80
Original price = $96 / 1.20 = $80.
Question 3: A salesperson earns a 5% commission on sales. If their monthly commission was $875, what were their total sales?
- $17,500 (Correct answer)
- $16,250
- $18,000
- $15,750
Correct answer: $17,500
Total sales = $875 / 0.05 = $17,500.
Question 4: Three partners invest in a business in the ratio 2:3:5. If the total investment is $50,000, how much does the partner with the middle share invest?
- $15,000 (Correct answer)
- $10,000
- $20,000
- $25,000
Correct answer: $15,000
Total parts = 2+3+5 = 10; middle share = 3/10 × $50,000 = $15,000.
Question 5: A school has 480 students. The ratio of boys to girls is 5:7. How many girls are in the school?
- 280 (Correct answer)
- 200
- 240
- 320
Correct answer: 280
Total parts = 5+7 = 12; girls = 7/12 × 480 = 280.
Question 6: A product's price drops from $250 to $175. What is the percentage decrease?
- 30% (Correct answer)
- 25%
- 35%
- 28%
Correct answer: 30%
Decrease = (250−175)/250 × 100 = 75/250 × 100 = 30%.
A mixture contains flour and sugar in the ratio 7:3.
If there are 210 grams of flour, how many grams of sugar are there?