Comparing Quantities — Practice

Question 1

Express 45 percent as a fraction in lowest terms.

Accepted Answer

45/100 = 9/20.

Question 2

A laptop is bought for Rs. 25,000 and sold for Rs. 22,500. Find the loss percentage.

Accepted Answer

Loss = 25000 - 22500 = Rs. 2500. Loss% = (2500/25000) x 100 = 10 percent.

Question 3

Find the simple interest on Rs. 10,000 at 7.5 percent per annum for 4 years.

Accepted Answer

SI = (10000 x 7.5 x 4) / 100 = Rs. 3000.

Question 4

The ratio of boys to girls in a school is 3:2. If there are 600 boys, how many girls are there?

Accepted Answer

3 parts = 600, so each part = 200. Girls = 2 x 200 = 400.

Question 5

A dealer sold a TV for Rs. 18,000, gaining 20 percent. Find the cost price.

Accepted Answer

SP = CP + 20% of CP = 1.20 x CP. So 1.20 x CP = 18000 -> CP = 18000/1.20 = Rs. 15,000.

Practice — Comparing Quantities