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 13 of 17.

Ashwin said:   5 years ago
@Sarwat

30%of number 180,
30/100*y=180.
y=600.
15%of3(number) =? .
15/100*3(600) =2700.

Ruhi said:   5 years ago
Total 100%.

One got 56 then the other got 44.
Diff 12%=9 (one got 9 marks more),
56%=42.
And 44%=33.

SANJAY said:   5 years ago
@All.

Simply, the solution is;

56 % and balance is 44, Right!
56/100 = 9,
56 - 44 / 100 = 9,
It will give you 75.
THEN,
56/100 X 75 = 42.
44/100 X 75 = 33.

Swathi krishna said:   5 years ago
Given,

One of them secured 9 Mark's more than other.

And one person got 56%, the second person got 100-56=44.

Difference 56 - 44 = 12, So 12% is 9 Mark's.

12------------>9Mark's
56------------>?
56 * 9/12=42.

One person got 42 Mark's.
Another person got 42 - 9 = 33marks.
(3)

Harsha said:   5 years ago
Why we make x+x+9 their? I am not getting that, Anyone explain me.
(1)

Tiki said:   5 years ago
Thanks @Neelu.

Ntb said:   5 years ago
which formula did we use in this? Anyone explain me, please.

Raveesh r said:   5 years ago
42+33 = 75.
42/75*100 = 56%.

Vaishnavi said:   5 years ago
How can you guys are multiplying with x+x+9?

Is 56% is total marks scored by both of 2 students.

I am getting confused. Please explain.

Anju said:   5 years ago
Listen, 56% of SUM OF THEIR MARKS is equal to 2nd person mark.

So, we can simplify 56/100.
By simplifying it we get 14/25.

So we can say that mark of 2nd person is 14 and the first one is 11(we get 11 by subtracting 25-14).

We know that 14-11 is 9 (it's already given in the answer).
That is 3=9.
So, 1=3.

Therefore 14*3 = 42 and 11*3 = 33.


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