# Ratio and Proportion Quiz Set 019

### Question 1

Two numbers are in the ratio 18 : 5. If both are increased by 8, the new ratio becomes 19 : 6. What is the first number?

A

144.

B

148.

C

140.

D

152.

Soln.
Ans: a

Let the numbers be 18x and 5x. We are given \${18x + 8}/{5x + 8} = 19/6\$. Solving, we get x = 8, so first number is 8 × 18 = 144.

### Question 2

A sum of Rs. 5400 is to be divided among three partners, P, Q and R, in the ratio 13 : 3 : 11. How much does Q get?

A

Rs. 600.

B

Rs. 602.

C

Rs. 598.

D

Rs. 604.

Soln.
Ans: a

The share of Q is in the ratio like this: \$3/{13 + 3 + 11} × 5400\$ = Rs. 600.

### Question 3

Two numbers are in the ratio 2 : 7. If both are decreased by 18, the new ratio becomes 8 : 73. What is the first number?

A

26.

B

30.

C

22.

D

34.

Soln.
Ans: a

Let the numbers be 2x and 7x. We are given \${2x - 18}/{7x - 18} = 8/73\$. Solving, we get x = 13, so first number is 13 × 2 = 26.

### Question 4

What is x, if 42 : x :: 3 : 2?

A

28.

B

32.

C

24.

D

36.

Soln.
Ans: a

We have \$42/x = 3/2\$, which gives x = \${42 × 2}/3\$ = 28.

### Question 5

The ratio of shares of three friends in Rs. 2700 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

A

Rs. 900.

B

Rs. 904.

C

Rs. 896.

D

Rs. 908.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is \$a/{(a - d) + a + (a + d)}\$ × 2700 = \$a/{3a}\$ × 2700 = \$2700/3\$ = Rs. 900. 