# Ratio and Proportion Quiz Set 013

### Question 1

A sum of Rs. 16100 is to be divided among three partners, P, Q and R, in the ratio 11 : 9 : 3. What is the difference between the shares of P and Q?

A

Rs. 1400.

B

Rs. 1402.

C

Rs. 1398.

D

Rs. 1404.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: \${11 - 9}/{11 + 9 + 3} × 16100\$ = Rs. 1400.

### Question 2

Two numbers M and N are in ratio 17 : 19. If they are, respectively, increased by 40% and 20%, what will be the new ratio of M : N?

A

\$1{5/114}\$.

B

\$2{7/113}\$.

C

\${5/116}\$.

D

\$3{113/116}\$.

Soln.
Ans: a

New M will scale to \$140/100\$ × 17, and N to \$120/100\$ × 19. New ratio is \${140 × 17}/{120 × 19}\$ = \${119/114}\$, which is same as: \$1{5/114}\$.

### Question 3

Two numbers are in the ratio 6 : 5. If both are increased by 8, the new ratio becomes 122 : 103. What is the first number?

A

114.

B

118.

C

110.

D

122.

Soln.
Ans: a

Let the numbers be 6x and 5x. We are given \${6x + 8}/{5x + 8} = 122/103\$. Solving, we get x = 19, so first number is 19 × 6 = 114.

### Question 4

A sum of Rs. 9900 is to be divided among three partners, P, Q and R, in the ratio 6 : 2 : 3. How much does Q get?

A

Rs. 1800.

B

Rs. 1802.

C

Rs. 1798.

D

Rs. 1804.

Soln.
Ans: a

The share of Q is in the ratio like this: \$2/{6 + 2 + 3} × 9900\$ = Rs. 1800.

### Question 5

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 600. The phone was installed on June 12. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

A

Rs. 360.

B

Rs. 660.

C

Rs. 1260.

D

Rs. 960.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 12 = 18 days. The ratio on proportionate basis is \$18/30\$ × 600 = Rs. 360.