# Ratio and Proportion Quiz Set 012

### Question 1

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 2

Two numbers are in the ratio 18 : 5. If both are increased by 8, the new ratio becomes 19 : 6. What is the first number?

A

144.

B

148.

C

140.

D

152.

Soln.
Ans: a

Let the numbers be 18x and 5x. We are given \${18x + 8}/{5x + 8} = 19/6\$. Solving, we get x = 8, so first number is 8 × 18 = 144.

### Question 3

Two numbers M and N are in ratio 17 : 19. If they are, respectively, increased by 40% and 20%, what will be the new ratio of M : N?

A

\$1{5/114}\$.

B

\$2{7/113}\$.

C

\${5/116}\$.

D

\$3{113/116}\$.

Soln.
Ans: a

New M will scale to \$140/100\$ × 17, and N to \$120/100\$ × 19. New ratio is \${140 × 17}/{120 × 19}\$ = \${119/114}\$, which is same as: \$1{5/114}\$.

### Question 4

Two numbers A and B are in ratio 8 : 9. If they are both increased by 10%, what will be the new ratio of A : B?

A

\${8/9}\$.

B

\$2{1/8}\$.

C

\$2{4/11}\$.

D

\$3{2/11}\$.

Soln.
Ans: a

New A will scale to \$110/100\$ × 8, and B to \$110/100\$ × 9. New ratio is \${110 × 8}/{110 × 9}\$ = \${8/9}\$.

### Question 5

A 250 liter mixture of milk and water contains 78% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

A

140 liter.

B

141 liter.

C

139 liter.

D

143 liter.

Soln.
Ans: a

The volume of milk will remain same at \${78 × 250}/100\$ = 195 liters. The amount of water at present is 250 - 195 = 55 liters. We need to make the volume of water equal to that of the milk. So we have to add 195 - 55 = 140 liters of water.