# Ratios and Proportions Test

1. John has an income of \$30000 and he pays \$6000 as income tax. Find the ratio of:
[A] His income tax to income
[B] Income to income tax

[A] Ratio of income tax to income = 6000:30000 = 6000/30000 = 1/5 = 1:5.
[B] Ratio of income to income tax = 30000:6000 = 30000:6000 = 5/1 = 5:1

2. If Adam ran 2 km on Monday and ran just 500 m on Tuesday, then what is the ratio of distance run by Adam on Tuesday to Monday? (click for answer)

Therefore, ratio of distance run by Adam on Tuesday to Monday
= 500:2000
= 500/2000
= 1/4
= 1:4

3. Jake works in a software company and earns \$1000 per month. From that, he saves \$200 per month. What is the ratio of Jake’s savings to income? (click for answer)
4. The first and the fourth terms of a proportion are 9 and the second term is 27. Find out the third term? (click for answer)

Let the third term be ‘m’.

Therefore,

27 x m = 9 x 9 ( by cross product multiplication)
27m = 9 x 9
27m = 81
m = 81/27
m = 3

Therefore, the 3rd term is 3

5. Is the statement true?
16:32 = 10:20 (click for answer)