# Ratio and Proportion Quiz Set 018

### Question 1

If \$26/45\$ of A's amount is \$13/15\$ of B's amount, and the total amount they have is Rs. 1000, what is the amount with A?

A

Rs. 600.

B

Rs. 602.

C

Rs. 598.

D

Rs. 604.

Soln.
Ans: a

Let the amounts with them be A and B. So \$26/45\$A = \$13/15\$B, which can be re-arranged to get A : B = 3 : 2. So A = \$3/5 × 1000\$ = Rs. 600.

### Question 2

A sum of Rs. 19500 is to be divided among three partners, P, Q and R, in the ratio 13 : 8 : 18. How much does Q get?

A

Rs. 4000.

B

Rs. 4002.

C

Rs. 3998.

D

Rs. 4004.

Soln.
Ans: a

The share of Q is in the ratio like this: \$8/{13 + 8 + 18} × 19500\$ = Rs. 4000.

### Question 3

What is x, if 65 : x :: 5 : 12?

A

156.

B

160.

C

152.

D

164.

Soln.
Ans: a

We have \$65/x = 5/12\$, which gives x = \${65 × 12}/5\$ = 156.

### Question 4

Two numbers A and B are in ratio 8 : 9. If they are both increased by 40%, what will be the new ratio of A : B?

A

\${8/9}\$.

B

\$2{1/8}\$.

C

\$2{4/11}\$.

D

\$3{2/11}\$.

Soln.
Ans: a

New A will scale to \$140/100\$ × 8, and B to \$140/100\$ × 9. New ratio is \${140 × 8}/{140 × 9}\$ = \${8/9}\$.

### Question 5

If 81, x, x and 100 are in proportion, then what is x?

A

90.

B

94.

C

86.

D

98.

Soln.
Ans: a

We have 81 : x :: x : 100, so 81 × 100 = x × x, which gives x = 9 × 10 = 90. This Blog Post/Article "Ratio and Proportion Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-12