# Ratio and Proportion Quiz Set 010

### Question 1

What is the value of the first part if 308 is divided in the ratio \$7/3\$ : \$5/3\$ : \$8/9\$?

A

147.

B

151.

C

143.

D

155.

Soln.
Ans: a

We have \$7/3\$ : \$5/3\$ : \$8/9\$. Now 9 is the LCM of 3, 3 and 9, so the ratios become \$7/3 × 9\$ : \$5/3 × 9\$ : \$8/9 × 9\$, which are same as 21 : 15 : 8. The value of the first item is \$21/{21 + 15 + 8}\$ × 308 = 147.

### Question 2

If 50% of a number is equal to 2/7 of another number, then what is the ratio of first number to second number?

A

\${4/7}\$.

B

\$1{5/6}\$.

C

2.

D

\$2{7/9}\$.

Soln.
Ans: a

We have \${50A}/100 = {2B}/7\$, which can be re-arranged to \$A/{2 × 100} = B/{50 × 7}\$, so the required ratio is (2 × 100) : (50 × 7), which is 4 : 7. So the answer is \${4/7}\$.

### Question 3

A sum of Rs. 13000 is to be divided among three partners, P, Q and R, in the ratio 11 : 5 : 10. How much does Q get?

A

Rs. 2500.

B

Rs. 2502.

C

Rs. 2498.

D

Rs. 2504.

Soln.
Ans: a

The share of Q is in the ratio like this: \$5/{11 + 5 + 10} × 13000\$ = Rs. 2500.

### Question 4

Two numbers A and B are in ratio 2 : 3. If they are both increased by 60%, what will be the new ratio of A : B?

A

\${2/3}\$.

B

\$2{1/2}\$.

C

\$2{2/3}\$.

D

\$2{1/5}\$.

Soln.
Ans: a

New A will scale to \$160/100\$ × 2, and B to \$160/100\$ × 3. New ratio is \${160 × 2}/{160 × 3}\$ = \${2/3}\$.

### Question 5

What is the value of the first part if 2023 is divided in the ratio \$9/5\$ : \$2/3\$ : \$2/7\$?

A

1323.

B

1327.

C

1319.

D

1331.

Soln.
Ans: a

We have \$9/5\$ : \$2/3\$ : \$2/7\$. Now 105 is the LCM of 5, 3 and 7, so the ratios become \$9/5 × 105\$ : \$2/3 × 105\$ : \$2/7 × 105\$, which are same as 189 : 70 : 30. The value of the first item is \$189/{189 + 70 + 30}\$ × 2023 = 1323.

This Blog Post/Article "Ratio and Proportion Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer