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:
173 comments Page 14 of 18.

Hariharan E said:   8 years ago
Please explain how to get the answer?

Vishwa said:   8 years ago
@Hariharan.

Try to understand.

Assume the first person as A second person as B.
A = 56%.
B = 44%.
Now just take the difference between their%.
A-B=12%.
In the problem itself, they have given that A is 9 more than B.
This 9 marks is nothing but that difference 12%.
Hence 12%-9.
56%-?=42=A.
B=A-9=42-9=33.

Shivashankar said:   8 years ago
Thank you @Aparna.

Asif husain jafri said:   8 years ago
First, sum all the option and find its 56%.
in option 42+33=75.
75 of 56% =42.
42-9=33.

Bismah hanif said:   8 years ago
How? Please explain in detail. @Asif Husain Jafri.

Aman Tomar said:   8 years ago
Hello Guys
Simple method.

A=x+9,
B=x,
x+9=56%(x+x+9),
x+9=56/100(2x+9),
x=33,
A=33+9=42.
B=33.

Gyanajyoti said:   8 years ago
Bdw why (x+9+w) became multiple with 56/100?

Lingeswaran said:   8 years ago
Thanks @Aman Tomar.

Vinaya said:   8 years ago
Thanks @Tukuna.

Jajjo said:   8 years ago
How you can take 25 at lhs and 14 rhs?


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