# Ratio and Proportion Quiz Set 011

### Question 1

If \$26/57\$ of A's amount is \$13/19\$ of B's amount, and the total amount they have is Rs. 3000, what is the amount with A?

A

Rs. 1800.

B

Rs. 1802.

C

Rs. 1798.

D

Rs. 1804.

Soln.
Ans: a

Let the amounts with them be A and B. So \$26/57\$A = \$13/19\$B, which can be re-arranged to get A : B = 3 : 2. So A = \$3/5 × 3000\$ = Rs. 1800.

### Question 2

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}\$

### Question 3

If 10% of a number is equal to 3/5 of another number, then what is the ratio of first number to second number?

A

6.

B

7.

C

5.

D

3.

Soln.
Ans: a

We have \${10A}/100 = {3B}/5\$, which can be re-arranged to \$A/{3 × 100} = B/{10 × 5}\$, so the required ratio is (3 × 100) : (10 × 5), which is 6 : 1. So the answer is 6.

### Question 4

If 50% of a number is equal to 9/13 of another number, then what is the ratio of first number to second number?

A

\$1{5/13}\$.

B

\$2{7/12}\$.

C

\${1/3}\$.

D

\$3{4/5}\$.

Soln.
Ans: a

We have \${50A}/100 = {9B}/13\$, which can be re-arranged to \$A/{9 × 100} = B/{50 × 13}\$, so the required ratio is (9 × 100) : (50 × 13), which is 18 : 13. So the answer is \${18/13}\$, which is same as: \$1{5/13}\$.

### Question 5

If 121, x, x and 64 are in proportion, then what is x?

A

88.

B

92.

C

84.

D

96.

Soln.
Ans: a

We have 121 : x :: x : 64, so 121 × 64 = x × x, which gives x = 11 × 8 = 88. 