Percentage
16. | If the price of sugar rises from Rs. 44 per kg to Rs. 55 per kg, a person, in order to have no increase in his expenditure on sugar, will have to reduce his consumpion of sugar by: |
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A. 15%
B. 20%
C. 25%
D. 30%
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Expenditure = Price x Consumption
In order to keep expenditure same, price and consumption are inversely proportional.
Price increases from 44 to 55 i.e. 25% (1/4)
Price increased to 5/4 of original.
So, consumption to become 4/5 (80% of original)
SO, reduction in consumption = 20%
17. | The diference of two numbers is 20% of the larger number, if the smaller number is 20, then the larger number is : |
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A. 15
B. 25
C. 35
D. 45
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Let the larger number be x.
Then x - 20 = 20x/100
=> x - x/5 = 20 => x = 25
18. | If the numerator and the denominator of a fraction is increased by 150% and 350% respectively, the resultant fraction becomes 25/51. What is the original fraction ? |
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A. 31/25
B. 15/1
C. 14/25
D. 11/16
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Let the original fraction be x/y.
x*(150 + 100)/y*(350+100) = 25/51
x/y = (25/51)*(350+100)/(150+100)
= 15/17
19. | A number is increased by 20% and then decreased by 20%, the final value of the number is : |
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A. increase by 2%
B. decrease by 3%
C. decrease by 4%
D. increase by 5%
View Answer Discuss Work SpaceAnswer: option c
Explanation:
Let the initial number be 100
By increasing 20%, the number will be 120% of initial. By decreasing 20%, the number will be 80% of the earlier.
100 ---> 120 ---> 120*(80/100) = 96
Therefore, net % change is 4% decrease
20. | In an election between two candidates, one got 55% of the total valid votes, 80% of the votes were valid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was : |
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A. 2500
B. 2700
C. 2900
D. 3100
View Answer Discuss Work SpaceAnswer: option b
Explanation:
Total number of votes = 7500
Given that 80% of Percentage votes were valid
Total valid votes = 7500*(80/100)
1st candidate got 55% of the total valid votes.
Hence the 2nd candidate must have got 45% of the total valid votes
=> Valid votes that 2nd candidate got = total valid votes x (45/100)
= 7500*(80/100)*(45/100) = 2700
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