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Quantitative Aptitude

Percentages - Solved Examples

Q 1 - What is fraction equivalent of 32%.

Answer - B

Explanation

32% = 32/100 = 8/25.

Q 2 - What is fraction equivalent of 160%.

Answer - A

Explanation

160% = 160/100 = 8/5

Q 3 - What is decimal equivalent of 0.8%.

Answer - A

Explanation

0.8% = 0.8/100 = 0.008.

Q 4 - What is decimal equivalent of 18%.

Answer - B

Explanation

18% = 18/100 = 0.18

Q 5 - What is decimal equivalent of 5%.

Answer - C

Explanation

5% = 5/100 = 0.05

Q 6 - What is decimal equivalent of 126%.

Answer - A

Explanation

126% = 126/100 = 1.26

Q 7 - What is decimal equivalent of 0.06%.

Answer - D

Explanation

0.06% = 0.06/100 = 0.0006.

Q 8 - What is 3/4 as per cent?

Answer - D

Explanation

3/4= (3/4*100)% = 75%

Q 9 - 45% of 280 + 28% of 450 = ?.

Answer - B

Explanation

45% of 280+28% of 450 = (450/100*280)(28/100*450)
= (126+126) = 252

Q 10 - Which is largest in 50/3%, 2/15, 0.18, 3/7 ?

Answer - B

Explanation

162/3% = 50/(3*100) = 1/6 = 0.166, 2/15 =0.133, 3rd number = 0.18, 3/7 = 0.42.
Clearly, 3/7 is largest.

Q 11 - 65% of a number is 21 less than 4/5 th of that number. Find the number.

Answer - A

Explanation

Let the number be x. Then,
(4/5 x)-(65% of x)= 21 => 4x/5-65x/100=21 => 4x/5-13x/20=21
=> 16x-13x=420 =>3x=420 ?x=140.
Required number = 140.

Q 12 - What per cent is 120 of 90?

Answer - A

Explanation

Required % = (120/90*100)%= 400/3%

Q 13 - What percent is 5gm of 1kg?

Answer - B

Explanation

Required % = (5/1000*100)%= 1/2%=0.05%

Q 14 - What per cent is 120 ml of 3.5 liters?

Answer - A

Explanation

Required % = (150/3500*100)%= 30/7%

Q 15 - If A's pay is 20% more than that of B, then what number of per penny is B's compensation not as much as that of A?

Answer - A

Explanation

B's salary is less than that of A by is less than that of a by {R/((100+R) )*100}%
= {20/((120) )*100}% = 50/3%

Q 16 - If A's salary is 25% not as much as that of B, then what number of per penny is B's compensation more than that of A?

Answer - B

Explanation

B's salary is more than that of A by {R/((100-R) )*100}%
= {25/((100-25) )*100}% = (25/75*100)=100/3%

Q 17 - If the cost of tea is expanded by 20%, by what amount of percent must the utilization of tea be lessened so as not to build the consumption?

Answer - A

Explanation

Reduction % in consumption = {R/((100+R) )*100}%(20/120*100)%
= 50/3%

Q 18 - If the cost of sugar falls by 10%, by how much per penny should a householder expand its utilization, so as not to diminish its use on sugar?

Answer - A

Explanation

Increase % in consumption = {R/((100-R) )*100}% = {10/((100-10) )*100} = 100/9%

Q 19 - The tax on a commodity is diminished by 20% and its consumption increases by 15%. Find the effect on revenue.

Answer - B

Explanation

Let originally revenue obtained by Rs. x.
New revenue = (Consumption * Tax)
= (115% of 80% of Rs. x) = Rs(115/100*80/100*x)=Rs.92x/100
= 92% of the original.
Hence, the revenue is decreased by 8%.

Q 20 - The population of a town is 176400. It increases annually at the rate of 5% p.a. What will be its population after 2 years?

Answer - A

Explanation

Population after 2 years =  {176400 * (1+5/100)² }
176400* 21/20*21/20=194481.

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