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Percentage Questions

Home > Quantitative Aptitude > Percentage > General Questions
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In a society of 80 resident families who subscribe newspapers, 60% of them subscribe The Hindu newspaper, 80% of them subscribe regional language newspaper and 70% of them subscribe TOI. How many families could, at the least, be subscribing to all the three newspapers

A0%

B5%

C10%

D20%

Explanation:

Total no. of families who take newspaper=80
Hindu newspaper = 60% = (80*60/100) = 48
Regional newspaper = 80% = (80*80/100) = 64
TOI newspaper = 70% = (70*80/100) = 56
Find common families take H.C.F (48,64,56) = 8
Therefore,(8/80)*100=10%
So, common families who take all newspaper = 10%.

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A survey of a village showed that 1 / 10 of the total population speak neither Hindi nor English. 1 / 5 of them cannot speak English and 3 / 7 of them cannot speak Hindi. What percentages of people know only one language?

A42.86%

B40%

C34%

DNone of these

Explanation:

persons who can speak English = 1 - (1/5) = 4/5
persons who can speak Hindi = 1 - (3/7) = 4/7
persons who can speak any or both = 1 - 1/10 = 9/10
so total persons speak both = 4/5 + 4/7 - 9/10 = 33/70
persons speak any = 1 - 33/70 - 1/10 = 3/7
% = 300/7% = 42.86%

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Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?

A33, 46

B33, 42

C32, 46

DNone of these

Explanation:

Lets assume first student secured x marks.
So second student will secured (x + 9).
Sum of both students marks = x + (x + 9) = (2x + 9)
As per Question, (x + 9) was 56% of the sum of their marks.
So, (x+9) = 56/100(2x+9)
=> (x+9) = 14/25(2x+9)
=> 25x + 225 = 28x + 126
=> x = 33.
So, (x + 9) = 33 + 9 = 42
Hence, their marks are 33 and 42 respectively.

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In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?

Explanation:

Let's assume total polled votes = 100 %,
Given, First person got 60%
than 40 % = 280
40% = 40*7 = 280

100% = 100*7 = 700 votes

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A person run from A to B.He took 1/4 of the time less to reach B when compare to run at normal Speed.Then how many percentage he has increased his speed?

A40

B44.4

C33.3

D22.2

Explanation:

1-(1/4)=(3/4),then reverse it.
so it is 4/3=1.333,1.33-1=33.33

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A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The % reduction in the number of sheets is closest to

A20

B5

C30

D35

Explanation:

Given, 20 sheets each of 55 lines and each such line consists of 65 characters. (Condition 1st)

20 sheets, 55 lines and 65 characters = 20*55*65 = 71500 char.

65 lines such that each line consists of 70 characters (Condition 2nd)

So, x sheets,65 lines and 70 characters = x*65*70 char.

Given: This report is retyped

=>  x*65*70 = 71500

=> x = 16 sheet.

So reduction %: ([(20-16)*100]/20) *100 =20%

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(a% of a) + (b% of b) = 2% of ab, then what percentage of a is b?

A50%

B75%

C100%

DCannot be determined.

Explanation:

Acc. to the question we have to find b/a
Given a*a/100 + b*b/100 =2ab/100 or a^2+b^2=2ab or (a-b)^2 =0
By Solving we will get a=b
Hence b/a= 1 or 100%

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In a team of 12 persons, 1/3 are women and 2/3 are men. To obtain a team with 20% women how many men should be hired?

A7

B6

C8

D10

Explanation:

Women = 12(1/3) = 4
so, men = 12-4 = 8
if team needs 20% of women then men Will be 80%
consider u want to hire "x" men
so, (12+x)(80/100) = 8 + x
so, x= 8

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In a bank 60 percent employees are men.80%men and 20%women belong to retirement plan. what percent of people belong to retirement plan?

A48%

B56%

C60%

D80%

Explanation:

60% employees are men => 40% are women.
80% of 60 % men is 48% and 20% of 40% women is 8%.
so total is 48+8=56%.

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In an exhibition, the entrance ticket for Kids was Rs.16 and Rs.20 for adults. Every year, adult's cost increases by 25% more than kid's increase rate which is 25%. What will be the difference of their ticket cost after 2 years?

ARs.16

BRs.15

CRs.20

DRs.18

Explanation:

Kids= 16Rs, after 1 year= 1.25* 16= 20Rs, again after 1 year= 1.25* 20= 25Rs
Adults= 20Rs After 1 yr= 1.50* 20= 30Rs , Again after 1 yr= 1.50*30 =45 Rs
So difference is= 45-25= 20 Rs.
When kids fare increases by 25% so adults fare increases by 25+25 i.e =50%

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