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 16 of 17.

Viral said:   1 decade ago
@Radhika
How can u write this eq.
56-44/100=9
means why u put 9 to the R.H.S?

Hemant singh said:   1 decade ago
By question let first scoted x marks

then 2nd x+9
sum of ther marks {x+x+9}
not by ques the student who ha s scored x+9 marks = su m of marks of both students ie x+9=2x+9 of 56%
solve it now

Anthea said:   1 decade ago
@Ashok

Y did u divide 56/100 by 4?

Anthea said:   1 decade ago
@Ashok

Y did u divide 56/100 by 4?

Vino said:   1 decade ago
No confusion. Listen.
Assume total marks will be 100,
One student=x+9.

Another=x.
So,
For 100 he scored 56, so what marks for them so (x+9+x).
56/100* (x+9+x).

Now x+9 is student 1: So equate,

x+9 = 56/100* (x+9+x).

Maryam said:   1 decade ago
y u write (x+9+x)on the other side of equalto

Mohit said:   1 decade ago
How did you that 25, 225, 28, 126 ?

Suraj said:   1 decade ago
25X+225=28X+126
28X=25X+225-126
28X=25X+99
28X-25X=99
3X=99
X=99/3
X=33
Ans:x=33; x+9=33+9=42.

Ashok said:   1 decade ago
@Archana:

Divide 56/100 by 4 and you'll Get 14/25
bring the 25 to L.H.S
and you will get
25(x+9)=14(x+9+x)
now add two x's in R.H.S
25(x+9)=14(2x+9)

Archana said:   1 decade ago
How do you come on this step

x + 9 = 56/100 (x + 9 + x)
25(x + 9) = 14(2x + 9)
Please explain in simple way.


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