Aptitude - Percentage - Discussion

As one got X marks another X+9 so, the sum of both is 2x+9.

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.

Answer = C.

1st students marks percentage = 56%,
2nd percentage= 100-56 = 44%,
Difference between marks = 9,
Difference between percentage=56-44 = 12%.
9 = 12% ->1 = 0.75 ->100 = 75(total marks).
56% = 0.75X56 = 42 ,44% = 0.75X44 = 33.

Understand the statement :

One of them secured 9 marks more than the other.
So it is (9 + x) , right ?

Next part is " 56% of the sum of their marks"
So here, sum is (x + 9 + x).
And its 56% is (56/100) * (x + 9 + x).

So now, the important part is " .. 9 marks more than the other AND HIS MARKS WAS 56% of ... "

In this line, it says HIS Marks, so whose marks it is ?? It is the marks of ( 9 + x ).
(9 + x ) is the 56% of their sum.

Because of this line, we have equal to symbol in the equation,

So the equation is : (9 + x) = (56/100) * (x + 9 + x).

Thank you for explaining @Rahul.

Please explain in simple way.

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 :)

Good. @hiren.

Hw we can calcuate, total marks ?

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.