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 18 of 18.

Krishnaa Kumari said:   2 months ago
Total marks = 100%.
X = 56%.
Y = 100-56.
= 44%.

Now the difference marks between X and Y.
= (56-44)%,
= 12%.

Now,
12% = 9,
1% = 9÷12,
56%= 9÷12 × 56,
= 42.

Next;
Y = 44%.
12% = 9.
1% = 9÷12,
44%= 9÷12 × 44,
= 33.
(40)

Preetika said:   4 weeks ago
How 25 has come? Please explain to me.
(2)

Srabani guntha said:   2 weeks ago
Let the student are;
a,b and their marks are x and x+9
As the question is given,
from the question we get.
x+x+9(56/100) = x+9.

Because the question is said 56 per cent of the sum of their mark;
So 2x+9 (56/100) = x+9,
(112x +504)/100 = x + 9,
112x +504 = 100x + 900,
112x-100x = 900 - 504.
12x = 396.
x = 33.
and x + 9 = 33 + 9,
= 42.

So the mark are 33 and 42.
(2)


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