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# Percentages - Solved Examples

**Answer - B**

**Explanation**

32% = 32/100 = 8/25.

**Answer - A**

**Explanation**

160% = 160/100 = 8/5

**Answer - A**

**Explanation**

0.8% = 0.8/100 = 0.008.

**Answer - B**

**Explanation**

18% = 18/100 = 0.18

**Answer - C**

**Explanation**

5% = 5/100 = 0.05

**Answer - A**

**Explanation**

126% = 126/100 = 1.26

**Answer - D**

**Explanation**

0.06% = 0.06/100 = 0.0006.

**Answer - D**

**Explanation**

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

**Answer - B**

**Explanation**

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

**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.

**Answer - A**

**Explanation**

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

**Answer - B**

**Explanation**

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

**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.