Ratio and Proportion Quiz Set 013

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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.

Solution | Discuss! | Chapters»

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: $1{5/114}$.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»

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.

Solution | Discuss! | Chapters»
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Updated on 2020-02-07. Published on: 2016-05-12

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