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 9 of 17.

Sangay Tenzin said:   9 years ago
When I divide 56/100 by 4 I got 14/25. But I did not know from where this 4 come from?

So please help me to get it.

Sarwat said:   1 decade ago
30 percent of a number is 180. What is 15 percent of 3 times of the same number?

Please help me in this question.

Suhas said:   1 decade ago
Instead of calculating using variables, use options to find the answer.

42 is 56% of 75, hence 3 is the answer.

Jvn said:   1 decade ago
Percentage diff is 12%.

So 12% is equal to 9 marks.

So for 56% whats the marks(x).

We get x = 56*9/12.

= 42.

Boopathi said:   1 month ago
25(x+9) = 14(2x+9),
25x + 234 = 28x + 126,
25x - 28x = 126 - 234,
3x = 108,
x = 108/3,
x = 33,
y = 33 + 9 = 42.
(5)

Amit katnoria said:   6 years ago
Can't we assume the mark's of another person :-X & those who have less:-X-9?

Likewise;
(X+X-9)*56/100 = X.

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.

Deepika said:   6 years ago
@Anthea. You do by simply dividing 56/100 by least divisible 2 then you got answer 14/25. Hope it's clear !
(1)

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.

Prakhar Maheshwari said:   7 years ago
Answer is C.

I have directly used option to get the answer.

So, 42/75*100 =56%; (42+33 =75).


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