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 10 of 18.

Hari said:   9 years ago
25(x+9) = 14(2x+9).

Why 25 came here? Explain briefly.

Albert Einstein said:   9 years ago
Let their marks be (x + 9) and x.

Then, x + 9 = 56/100(x + 9 + x).
25(x + 9) = 14(2x + 9),
3x = 99,
x = 33.

So, their marks are 42 and 33.

Bhusan said:   9 years ago
Hi, can you please explain it came?

Then, x + 9 = 56 (x + 9 + x)
100
25(x + 9) = 14(2x + 9).

If we divide with 4 by 56/100 then the answer is 25 and 14. My question is how 4 came into picture?

AlikaRai said:   9 years ago
I need help for this question. Kindly help me.

If the money is devalued by 4% find the% increase in money that will have to spent to buy a particular article.
(1)

Purwa said:   9 years ago
Great explanation, thanks @Neelu.

Dinesh D said:   9 years ago
@Aniket.

Let the total number of candidates who applied be x.
Ineligible candidates = 0.05x.
Eligible candidates = x-0.05x = 0.95x.
General category candidates who are eligible = (0.95x)*0.85 = 0.8075x.
Other category candidates who are eligible = 4275.

Then x = 0.05x + 4275+0.8075x.
= 0.8575x + 4275.
0.1425x = 4275.
x = 30000.

Megha said:   9 years ago
In an exam, 5%of the application were found ineligible &85% of the eligible candidates belongs to general category. If 4275 eligible candidates belonged to other categories, then how much candidates applied for the exam?

Please answer this question.

Borra vamsi krishna said:   9 years ago
Please explain in simple way.

Umang gandhi said:   9 years ago
Let two student a&b.

a scores 9 marks more than b and have 56%.
a = 56%.
b = 100-56 = 44%,
56% = 9 + 44%,
12% = 9.

Let total marks be x.
12%X = 9,
(12/100) * x = 9,
x = 75.

Sum of both a and b = 75.
We check option which satisfies above condition = 42, 33.

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.


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