# Ratio and Proportion Quiz Set 004

### Question 1

If 40% of a number is equal to 4/7 of another number, then what is the ratio of first number to second number?

A

\$1{3/7}\$.

B

\$2{5/6}\$.

C

\${1/3}\$.

D

\$3{4/9}\$.

Soln.
Ans: a

We have \${40A}/100 = {4B}/7\$, which can be re-arranged to \$A/{4 × 100} = B/{40 × 7}\$, so the required ratio is (4 × 100) : (40 × 7), which is 10 : 7. So the answer is \${10/7}\$, which is same as: \$1{3/7}\$.

### Question 2

Mr. X has got a new telephone connection for a plan that has a 30-day rental of Rs. 600. The phone was installed on June 10. What is the amount of the bill for the month of June if billing is done on pro-rata proportionate basis?

A

Rs. 400.

B

Rs. 700.

C

Rs. 1300.

D

Rs. 1000.

Soln.
Ans: a

June has 30 days, so billing is for 30 - 10 = 20 days. The ratio on proportionate basis is \$20/30\$ × 600 = Rs. 400.

### Question 3

What is x, if 110 : x :: 11 : 9?

A

90.

B

94.

C

86.

D

98.

Soln.
Ans: a

We have \$110/x = 11/9\$, which gives x = \${110 × 9}/11\$ = 90.

### Question 4

If a : b is 11 : 2, then what is (23a - 5b) : (6a - 4b)?

A

\$4{11/58}\$.

B

\$5{16/57}\$.

C

\$3{1/12}\$.

D

\$6{19/20}\$.

Soln.
Ans: a

Simply substitute the values to get (23a - 5b) : (6a - 4b) as (23 × 11 - 5 × 2) : (6 × 11 - 4 × 2) = \$243/58\$ = \${243/58}\$, which is same as: \$4{11/58}\$.

### Question 5

The ratio of shares of three friends in Rs. 2700 are in an A.P.(arithmtic progression). What is the share of the friend who is neither the richest, nor the poorest?

A

Rs. 900.

B

Rs. 904.

C

Rs. 896.

D

Rs. 908.

Soln.
Ans: a

Let the shares be in the ratio a - d : a : a + d. The value of the middle item is \$a/{(a - d) + a + (a + d)}\$ × 2700 = \$a/{3a}\$ × 2700 = \$2700/3\$ = Rs. 900.