Numerical Reasoning Percentage and Ratio Problems 2

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?

Accepted Answer

90g

Answer

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?

Accepted Answer

$80

Answer

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?

Accepted Answer

$17,500

Answer

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?

Accepted Answer

$15,000

Answer

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?

Accepted Answer

280

Answer

Total parts = 5+7 = 12; girls = 7/12 × 480 = 280.

Numerical Reasoning Practice Test