Ratio and Proportion Quiz Set 009


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Question 1

Two numbers A and B are in ratio 14 : 15. If they are both increased by 10%, what will be the new ratio of A : B?

 A

${14/15}$.

 B

$2{1/14}$.

 C

$2{10/17}$.

 D

$3{8/17}$.

Soln.
Ans: a

New A will scale to $110/100$ × 14, and B to $110/100$ × 15. New ratio is ${110 × 14}/{110 × 15}$ = ${14/15}$.


Question 2

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 3

A bag contains 25p, 10p and 5p coins in the ratio 6 : 9 : 11. How many 25 paise coins are there if the total amount is Rs. 59?

 A

120.

 B

122.

 C

118.

 D

124.

Soln.
Ans: a

Let the total number of coins be 6x, 9x and 11x. Please note that 25p = Rs. 1/4, 10p = Rs. 1/10, 5p = Rs. 1/20, so they add to x × $(6/4 + 9/10 + 11/20)$ = 59. LCM of 4, 10 and 20 is 20, multiplying both sides by 20 we have x × $(6 × 5 + 9 × 2 + 11)$ = 59 × 20, which is x × $(30 + 18 + 11)$ = 59 × 20, solving for x we get x = 20, so 25p coins = 20 × 6 = 120.


Question 4

Two numbers M and N are in ratio 15 : 7. If they are, respectively, increased by 20% and 30%, what will be the new ratio of M : N?

 A

$1{89/91}$.

 B

$3{1/90}$.

 C

${89/93}$.

 D

$4{27/31}$.

Soln.
Ans: a

New M will scale to $120/100$ × 15, and N to $130/100$ × 7. New ratio is ${120 × 15}/{130 × 7}$ = ${180/91}$, which is same as: $1{89/91}$.


Question 5

If 10% of a number is equal to 4/13 of another number, then what is the ratio of first number to second number?

 A

$3{1/13}$.

 B

$4{5/12}$.

 C

$1{4/5}$.

 D

$5{4/15}$.

Soln.
Ans: a

We have ${10A}/100 = {4B}/13$, which can be re-arranged to $A/{4 × 100} = B/{10 × 13}$, so the required ratio is (4 × 100) : (10 × 13), which is 40 : 13. So the answer is ${40/13}$, which is same as: $3{1/13}$.


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This Blog Post/Article "Ratio and Proportion Quiz Set 009" 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

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