Aptitude - Percentage - Discussion

Discussion Forum : Percentage - General Questions (Q.No. 2)
2.
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:
39, 30
41, 32
42, 33
43, 34
Answer: Option
Explanation:

Let their marks be (x + 9) and x.

Then, x + 9 = 56 (x + 9 + x)
100

25(x + 9) = 14(2x + 9)

3x = 99

x = 33

So, their marks are 42 and 33.

Discussion:
170 comments Page 1 of 17.

Ramya said:   1 decade ago
Please explain in simple way.
(2)

Aparna said:   1 decade ago
Suppose 1 students score is 'x',then others will be 'x+9'

Now the next information is given about the student whose score is 'x+9'

Whenever in the question 'and'/'is' given put '=' sign
56% means 56/100 ,of means put multiplication sign
and sum of the marks means(x+x+9)

Now just solve the equation.
(1)

Vel said:   1 decade ago
Ok why equal sign assigned b/w x+9 and 56/100 (x+9+x) ?
(1)

Hiren savalia said:   1 decade ago
Go by option u will get answer easily ...

Let me choose 42 & 33

As all answers have difference of 9 so next step is to check 56 % condition for this answer ....

Now 56 % of sum of marks means 75 is 100 % then 42 is how much ?
calculate & u will get 56 % so u will come to know that the answer that u have chosen is d ri8 1 ... enjy :)
(2)

Person said:   1 decade ago
Good. @hiren.
(2)

Divyanshu said:   1 decade ago
Hw we can calcuate, total marks ?
(2)

Prasad said:   1 decade ago
@aparna..Hi..could it possible to put in details.please
(1)

Uttam said:   1 decade ago
First find total marks

difference between percentage=56%-44%=9%

In the question given difference between marks as 12

so, if mark is percentage

9 12%

? 100%

so by cross multiplying total marks=(9*100)/12=75.

now student 1s marks=56% of 75 i.e

(56/100)*75=42.

student 2s marks=44% of 75 i.e

(44/100)*75=33.
(2)

Krishna said:   1 decade ago
@uttam

How it can be 56%-44%=9%?

Can you explain it?
(1)

Radhika said:   1 decade ago
56-44/100=9
12/100=9
=75
now
56/100*75=42
44/100*75=33
:)
(2)


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