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## Aptitude :: PercentagePage 3

17.

 10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is the reduced to 4050. Find the number of original inhabitants? (a)4000 (b)5000 (c)7000 (d)6000
Answer is: DLet, the total number of original inhabitants be x.
Then, (100 - 25)% of (100 - 10)% of x = 4050.
(75/100) X (90/100) X x = 4050.
(27/40) X x = 4050.
x = 6000.

18.

 A salesman's commission is 5% on all sales upto Rs. 10000 and 4% on all sales exceeding this. He remits Rs. 31000 to his parent company after deducting his commission. Find the total sales? (a)32500 (b)33000 (c)34000 (d)35400
Answer is: ALet his total sales be Rs. x.
Now (Total Sales) - (commission) = 31100.
∴ x - [(5/100) X 10000 + (4/100)(x - 10000)] = 31100
x - 500 - [(x - 10000)/25] = 31100.
x - (x/25) = 31200.
x = Rs. 32500.

19.

 Raman's salary was decreased by 50% and subsequently increases by 50%. How much percentage does he lose ? (a)10% (b)15% (c)20% (d)25%
Answer is: DLet, Original salary Rs. 100.
New final salary = 150% of (50% of Rs. 100).
New final salary = Rs. (150/100) X (50/100) X 100.
New final salary = Rs. 75.
∴ decreased by 25%

20.

 The salary of a person was reduced by 10%. By what percent should reduced salary be raised so as to bring it at par with his original salary ? (a)82/9% (b)91/9% (c)100/9% (d)109/9%
Answer is: CLet, the original salary be 100.
Then, New salary = 90.
Increase of 90 = 10.
Increase on 100 = (10/90) X 100 = 100/9%

21.

 If the new budget, the price of kerosene oil rise by 25%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase ? (a)10% (b)20% (c)30% (d)40%
Answer is: BLet, Reduction in consumption = [(R/(100 + R))% X 100] X 100%
Reduction in consumption = (25/125)% X 100% = 20%

22.

 Ravi spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find the percentage in increase in his savings. (a)50% (b)60% (c)70% (d)80%
Answer is: ALet, original income = 100.
Then, expenditure = 75 and saving 25.
New income = 120, New expenditure = (110/100) X 75 = 165/2.
New saving = (75/2) - 25 = 25/2.
∴ Increase saving = (25/2) X (1/25) X 100 = 50%

23.

 The population of a town is 176400. If it increase at the rate of 5% per annum, what will be its population 2 years hence? (a)19000 (b)19400 (c)19448 (d)20000
Answer is: CPopulation after 2 years = 176400 X [1 + 5/100]2.
Population after 2 years = 176400 X 21/20 X 21/20
Population after 2 year = 19448.

24.

 If A's salary is 20% less than B's salary more than A's ? (a)10% (b)15% (c)20% (d)25%
Answer is: DRequired percentage = [20/100 - 20] X 100%.
Required percentage = 25%