# Ratio and Proportion Quiz Set 002

### 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

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}\$