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# Percentage Questions

Home > Quantitative Aptitude > Percentage > General Questions
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A Company finds that 62% of applicants pass its hiring test. if 10212 applicants took the test last year and 23% more applicants took the test this year, how many
applicants failed this year?

A893

B1456

C7788

D4773

E3881

Explanation:

No of applicants took the test this year = (10212 + 23% of 10212)
=[10212 + (23/100) * 10212] = 12560.76 ~ 12560
As per the question 62% pass every year => 38% applicants fail every year
No. of applicants failed this year = (38/100)*12560 = 4773

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Yearly subscription to professional magazines cost a company $951.00. To Make a 60% cut in the magazine budget, how much less must be spent? A$570

B$911 C$382

D$380 E$190

Explanation:

100%----> 951 then 60%--->951*60/100=570.60

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If the sales tax reduced from 3 1/2% to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 8400 ?

ARs. 12

BRs. 24

CRs. 14

DNone of these

Explanation:

Tax reduced from 3 1/2 or 7/2% to 3 1/3% or 10/3%.
So, the difference in tax = (7/2 - 10/3)% = 1/6%.
=> 1/6 % of Rs. 8400 = 8400*1/6% = 8400* (1/6 * 1/100) = Rs. 14.

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The price of a jewel, passing through three hands, rises on the whole by 65%. If the first and second sellers earned 20% and 25% profit respectively, find the percentage profit earned by the third seller.

A10%

B22%

C18%

D12%

Explanation:

Lets assume the original price of the jewel = Rs. P
and profit earned by the third seller= x%.

Then, ( 100 +x )% of 125% of 120% of P = 165% of p
=> [ ( 100+x )/100*125/100*120/100* P ] = [ 165/100* P ]
=> ( 100 + X ) = (165*100*100)/(125*120) = 110,
=> X = 10%.

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In a election between two candidate 10% of votes were invalid winner got 70% of valid votes and was elected by a majority of 900 votes. find the total number of votes?

A2600

B2200

C2500

D2550

Explanation:

Lets assume votes = x
valid votes are 0.9x,
Given 70% of 0.9x is 900 more than 30% of 0.9x,
=> 0.9*0.7-900=0.3*0.9x
=> x=2500

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A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?

A9%

B10%

C11%

D13%

Explanation:

Lets assume the cost of shower head = x.
So,cost of the toilet = 3x.
Total cost of 60 toilets and 20 shower heads = 60 * 3x + 20* x = 200x
So shower heads cost as a percentage of total cost = (200x/20x)% = 10%

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When 40 is subtracted from 50% of a number, the result is 50% of 500. find one-tenth of the number?

A29

B58

C75

D87

Explanation:

Lets assume number = x
(x/2)-40= 50/100 * 500 = 250
=> x=580
one tenth of number = 58

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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. The marks obtained by them are:

A39, 30

B41, 32

C42, 33

D43, 34

Explanation:

Let their marks be (x + 9) and x.
Then, x + 9 = (56/100)(x + 9 + x)
25(x + 9) = 14(2x + 9)
3x = 99
x = 33
So, their marks are 42 and 33.

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1,40,00,000 pencils are put up straight. all the pencils are of length range 3 to 6 inches. 80% of the pencils have average of five inches. so the find out the total length spanned by the pencils.

A644000 inches to 728000 inches

B64400000 inches to 72800000 inches

C644000 inches to 72800000 inches

DNone of these

Explanation:

length covered by 80% of the pencils =80/100 * 14000000 * 5 = 56000000 inches

Minimum length covered by remaining 20% of the pencils =20/100 * 14000000 * 3 = 8400000 inches

Maximum length covered by remaining 20% of the pencils =20/100 * 14000000 * 6 = 16800000 inches

Hence, total length spanned by the pencils is (56000000 +8400000) to (56000000 +16800000 )

ie, 64400000 inches to 72800000 inches

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A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon and 80 % of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

A4

B5

C8

D2

Explanation:

If half of the rolls were sold by noon,
Than remaining are 50 % (40) = 20.
Given 80% of the remaining were sold after the noon to closing time
80% (20) = 16
Unsold rolls = (20 - 16) = 4

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