Ratio and Proportion Quiz Set 014

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Question 1

If X is 40% more than Z, and Y is 30% more than Z, what is the ratio of X to Y?

 A

$1{1/13}$.

 B

$2{1/4}$.

 C

$2{2/3}$.

 D

$3{8/15}$.

Soln.
Ans: a

Clearly, X = $(100 + 40)/100$ × Z, and Y = $(100 + 30)/100$ × Z, which gives X : Y as $(100 + 40)/(100 + 30)$ = $140/130$ = ${14/13}$, which is same as: $1{1/13}$


Question 2

If $22/39$ of A's amount is $11/13$ of B's amount, and the total amount they have is Rs. 2000, what is the amount with A?

 A

Rs. 1200.

 B

Rs. 1202.

 C

Rs. 1198.

 D

Rs. 1204.

Soln.
Ans: a

Let the amounts with them be A and B. So $22/39$A = $11/13$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 2000$ = Rs. 1200.


Question 3

If $8/9$ of A's amount is $3/4$ of B's amount, and the total amount they have is Rs. 4000, what is the amount with A?

 A

Rs. 2400.

 B

Rs. 2402.

 C

Rs. 2398.

 D

Rs. 2404.

Soln.
Ans: a

Let the amounts with them be A and B. So $8/9$A = $3/4$B, which can be re-arranged to get A : B = 3 : 2. So A = $3/5 × 4000$ = Rs. 2400.


Question 4

What is the ratio A : B : C if A = $9/10$B and B = $16/19$C?

 A

72 : 80 : 95.

 B

9 : 16 : 19.

 C

10 : 16 : 19.

 D

9 : 19 : 144.

Soln.
Ans: a

We can write B = $10/9$A. Now we can use B as the pivot and write $10/9$A = B = $16/19$C. Divide all three with 10 × 16 to get $A/{9 × 16}$ = $B/{10 × 16}$ = $C/{19 × 10}$. So the required ratio is 144 : 160 : 190. The answer is 72 : 80 : 95.


Question 5

A sum of Rs. 6600 is to be divided among three partners, P, Q and R, in the ratio 6 : 2 : 3. How much does Q get?

 A

Rs. 1200.

 B

Rs. 1202.

 C

Rs. 1198.

 D

Rs. 1204.

Soln.
Ans: a

The share of Q is in the ratio like this: $2/{6 + 2 + 3} × 6600$ = Rs. 1200.


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This Blog Post/Article "Ratio and Proportion Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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