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 |
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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 |
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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% |
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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% |
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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% |
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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% |
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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 |
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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% |
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Answer is: DRequired percentage = [20/100 - 20] X 100%.
Required percentage = 25%
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