Ratio and Proportion Quiz Set 002

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Question 1

Two numbers M and N are in ratio 17 : 7. If they are, respectively, increased by 50% and 10%, what will be the new ratio of M : N?

 A

$3{24/77}$.

 B

$4{7/19}$.

 C

$2{20/79}$.

 D

$6{12/79}$.

Soln.
Ans: a

New M will scale to $150/100$ × 17, and N to $110/100$ × 7. New ratio is ${150 × 17}/{110 × 7}$ = ${255/77}$, which is same as: $3{24/77}$.


Question 2

What is the value of the first part if 362 is divided in the ratio $4/3$ : $8/9$ : $9/5$?

 A

120.

 B

124.

 C

116.

 D

128.

Soln.
Ans: a

We have $4/3$ : $8/9$ : $9/5$. Now 45 is the LCM of 3, 9 and 5, so the ratios become $4/3 × 45$ : $8/9 × 45$ : $9/5 × 45$, which are same as 60 : 40 : 81. The value of the first item is $60/{60 + 40 + 81}$ × 362 = 120.


Question 3

A sum of Rs. 24000 is to be divided among three partners, P, Q and R, in the ratio 17 : 10 : 3. What is the difference between the shares of P and Q?

 A

Rs. 5600.

 B

Rs. 5602.

 C

Rs. 5598.

 D

Rs. 5604.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: ${17 - 10}/{17 + 10 + 3} × 24000$ = Rs. 5600.


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 X is 70% more than Z, and Y is 10% more than Z, what is the ratio of X to Y?

 A

$1{6/11}$.

 B

$2{4/5}$.

 C

${6/13}$.

 D

$3{11/13}$.

Soln.
Ans: a

Clearly, X = $(100 + 70)/100$ × Z, and Y = $(100 + 10)/100$ × Z, which gives X : Y as $(100 + 70)/(100 + 10)$ = $170/110$ = ${17/11}$, which is same as: $1{6/11}$


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This Blog Post/Article "Ratio and Proportion Quiz Set 002" 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


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