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 13 of 18.

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

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.

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.

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

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?

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.

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

Why 25 came here? Explain briefly.

Raja said:   9 years ago
Explain it.

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?

90% application is a general category and ineligible. So balance 10%are other categories and it's 4275 application. So 10%is equal to 4275 then 100% is equal to 42750 application.

Nikhila said:   8 years ago
Where you get 25 and 14? Please tell me.

Sonu said:   8 years ago
A family consumes 25 kg rice and 9 kg wheat per month spends Rs. 350. The price of rice is 20% of the price of the wheat. If the price of wheat is increased by 20% then, find the % reduction in consumption of rice, if it has the same amount to spend.

Can anyone answer it?


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