# Ratio and Proportion Quiz Set 004

### Question 1

Two numbers are in the ratio 19 : 16. If both are decreased by 85, the new ratio becomes 29 : 11. What is the first number?

A

114.

B

118.

C

110.

D

122.

Soln.
Ans: a

Let the numbers be 19x and 16x. We are given \${19x - 85}/{16x - 85} = 29/11\$. Solving, we get x = 6, so first number is 6 × 19 = 114.

### Question 2

A 350 liter mixture of milk and water contains 56% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

A

42 liter.

B

43 liter.

C

41 liter.

D

45 liter.

Soln.
Ans: a

The volume of milk will remain same at \${56 × 350}/100\$ = 196 liters. The amount of water at present is 350 - 196 = 154 liters. We need to make the volume of water equal to that of the milk. So we have to add 196 - 154 = 42 liters of water.

### Question 3

If X is 50% more than Z, and Y is 60% more than Z, what is the ratio of X to Y?

A

\${15/16}\$.

B

\$2{1/15}\$.

C

\$2{11/18}\$.

D

\$3{1/2}\$.

Soln.
Ans: a

Clearly, X = \$(100 + 50)/100\$ × Z, and Y = \$(100 + 60)/100\$ × Z, which gives X : Y as \$(100 + 50)/(100 + 60)\$ = \$150/160\$ = \${15/16}\$

### Question 4

A sum of Rs. 13000 is to be divided among three partners, P, Q and R, in the ratio 11 : 5 : 10. How much does Q get?

A

Rs. 2500.

B

Rs. 2502.

C

Rs. 2498.

D

Rs. 2504.

Soln.
Ans: a

The share of Q is in the ratio like this: \$5/{11 + 5 + 10} × 13000\$ = Rs. 2500.

### Question 5

A sum of Rs. 25200 is to be divided among three partners, P, Q and R, in the ratio 16 : 15 : 5. What is the difference between the shares of P and Q?

A

Rs. 700.

B

Rs. 702.

C

Rs. 698.

D

Rs. 704.

Soln.
Ans: a

The difference of shares of Q is in the ratio like this: \${16 - 15}/{16 + 15 + 5} × 25200\$ = Rs. 700. 