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# Arithmetic Aptitude :: Percentage

Home > Arithmetic Aptitude > Percentage > General Questions

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71. The electricity charges were increased by the company by 20%. To counter the increase, consumer decided to save power by 20%. What will be the impact on the company's revenue?

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Explanation:

effective %= 20-20-(20*20)/100

=20-24

=-4

so, 4 % decrease

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72. The owner of a boutique decides to calculate the percentage of customers who purchase hats. If 40 percent of the store's customers decide to purchase items, and of those customers 15 percent purchase hats, what percent of the store's customers purchase hats?

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Explanation:

Suppose there are 100 customers.
Given 40 persons want to purchase items.
15% purchase hats
=> 0.15*40
=> 6 persons want to purchase hats.

=> 6% want to purchase hats.

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73. A number increased 37 1/2% gives 33. So, the number is

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Explanation:

Let x be that number
x+(37 1/2 % of x)=33
x+3x/8=33
11x=33*8
x=33*8/11=24

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74. 40% of the employees of an organization are men, of these 75% are earning more than Rs. 25,000/- per year. If 45% of the total employees of the company earn more than Rs. 25,000/- per year, then find the fraction of women who earn less than Rs. 25,000/- per year.

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Explanation:

Let 100 be the total strength Þ 40 M, 60 W,
30 M (>25000), overall 45 (>25000) Þ 15W must be > 25000
Þ 15/60 = 1/4.
Hence Ans. 1 - 1/4 = 3/4

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75. In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals I, II and III. If 50% favoured the first proposal, 30% the second and 20% the third, 5% favoured all the three, what is the percentage of those asked favoured more than one of the three proposals.

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Explanation:

Use direct formula for Union.
Þ 78 = 50 + 30 + 20 – x + 5. Ans. x – 5 = 22.

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76. In a certain city, 60% of the registered voters are congress supporters and the rest are BJP supporters. In an assembly election, if 75% of the registered congress supporters and 20% of the registered BJP supporters are expected to vote for candidate A, what percent of the registered voters are expected to vote for candidate A?

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Explanation:

Let the people in the city = 100

Congress supporters = 60% of 100 = 60 40% are BJP=40% of 100 = 40

out of 60,75% voted for congress=75%(60)=45 out of 40%,20% voted for congress=20%(40)=8 Total=45 + 8 = 53

Total percent= 53%

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77. There are 3 classes having 20, 24 and 30 students respectively having average marks in an examination as 20, 25 and 30 respectively. The three classes are represented by A, B and C and you have the following information about the three classes.

a. In class A highest score is 22 and lowest score is 18

b. In class B highest score is 31 and lowest score is 23

c. In class C highest score is 33 and lowest score is 26.

If five students are transferred from A to B, what can be said about the average score of A; and what will happen to the average score of C in a transfer of 5 students from B to C?

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Explanation:

Class A average is 20. And their range is 18 to 22 Class B average is 25. And their range is 23 to 31 Class A average is 30. And their range is 26 to 33

If 5 students transferred from A to B, A's average cannot be determined but B's average comes down as the highest score of A is less than lowest score of B.

If 5 students transferred from B to C, C's average cannot be determined the B's range fo marks and C's range of marks are overlapping.

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78. The cost price of a cow and a horse is Rs 3 lakhs. The cow is sold at 20% profit and the horse is sold at 10% loss. Overall gain is Rs 4200. What is the cost price of the cow?

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Explanation:

Profit = 4200 Profit =SP - CP

4200=SP - 300000 therefore SP=304200 x+y = 300000

1.2x + 0.9y = 304200
Solving for x = 114000 = CP of cow.

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79. If the price of petrol increases by 25% and Kelvin intends to spend only an additional 15%on petrol, by how much % will he reduce the quantity of petrol purchased?

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Explanation:

Let the current price of unit quantity of petrol be x. New price=1.25x.
Let reduced quantity be y.
y*1.25x = 1.15x,
y=115/125=23/25
Reduction = 1 - 23/25 = 2/25 = 8%

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80. A team won 80% of the games if played. If played 5 more games of which if won 3 and lost 2. Its loss percentage changed by 25%. How many games did it played overall?

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Explanation:

Game played = x
Then Lost Game = x/5
Now they played 5 more games in which they lost 2
so, (x+5)*25/100 = x/5 + 2
=> x=15
Total game played = 15+5 = 20

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