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# Percentage Questions

Home > Quantitative Aptitude > Percentage > General Questions
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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?

Bcan't be determined in both cases

Cdefinite increase in both cases

Dwill remain constant in both cases

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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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?

A111000

B120000

C114000

DNone of these

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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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?

A12%

B8%

C10%

D6.67%

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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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?

A20

B16

C14

D25

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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On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?

A10000

B10200

C9500

D9000

Explanation:

One-legged = 5% of 10000 = 500
Remaining = (10000-500) = 9500
Barefooted = 9500/2 = 4750
Remaining people = 9500-4750 = 4750
Hence required number of shoes = 4750*2+500*1 = 10000

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In a class there are 60% of girls of which 25% poor. What is the probability that a poor girl is selected is leader?

A15%

B50%

C80%

D30%

Explanation:

girls=60%
poor gilrs=25%60 ie 15%
so probability that a girl will be poor is 15%

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35% of 30 = 25% of?+1

A28

B38

C42

D32

Explanation:

35% of 30 = 25% of x + 1
35/100 * 30 = 25/100 * x + 1
7/20 * 30 = x/4 + 1
21/2 = x+4/4
21 = x+4/2
42=x+4
x = 38

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In a school the ratio of boys and girls are in the ration 5:6 .25% of boys will get scholar ship and 20% of girls will get scholar ship what % of students wont get scholarship?

A67%

B87%

C78%

D77%

Explanation:

Boys : Girls => 5x : 6x
Total no. of students including boys nd girls = 5x+6x = 11x
25% of boys => 5x*25/100 = 5x/4
20% of girls => 6x*20/100 =6x/5
No. of students who are getting scholarship => 5x/4 + 6x/5 = 49x/20
No. of students who are not getting scholarship = 11x - 49x/20 = 171x/20
% of students not getting scolorship => 171x/20/11x * 100
=> 100*171x/220x
= 77.7% ~ 78%

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A man walked diagonally across a square lot approximately what was the percent saved by not walking along the edges?

A30%

B2%

C25%

D15%

Explanation:

Let the sides of the square be a
When he walks along the edges distance covered is 2a and when he walks along the diagonal distance covered is sqrt(2a).
Percentage saved is (2a-_/2a)/2a *100%= 29.28% approx. 30%

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In a primary school, 10% of students are below 11 years of age. The number of students above 11 years of age is 3/4 of the number of students of 11 years of age which is 36. What is the total number of students in the school?

A72

B80

C70

D150

Explanation:

Acc. to the question the number of students of 11yrs age be 36
Then children above 11 yrs of age is 3/4&*36=27
And children below 11yrs of age be 10x/100 where x is the total number of students
So finally 10x/100+27+36=x
Solving we get x=70

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