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 4 of 17.

Jeeva said:   4 years ago
@Vel.

Two students x and y were appear then one get more than 9marks from the other so we take that one member as y as an assumption so y =x+9.

Here we have x and x+9 as two members. Then that x+9 's mark is 56%of sum of their marks. Hence we take (x+9) = 56% (x+ (x+9) ) = option c.

Swathi krishna said:   5 years ago
Given,

One of them secured 9 Mark's more than other.

And one person got 56%, the second person got 100-56=44.

Difference 56 - 44 = 12, So 12% is 9 Mark's.

12------------>9Mark's
56------------>?
56 * 9/12=42.

One person got 42 Mark's.
Another person got 42 - 9 = 33marks.
(3)

Vel7 said:   7 years ago
Take option c. 42, 33.
Then 42+33=75 so, 75= 100%.
7.5=10%.
0.75=1%.

We calulate 56% 1%= 0.75.
56%=0.75*56= 42
Difference 9. So 42-9=33.

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?

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.

Swaminathan Vembu said:   1 decade ago
If I simplify the given statement and assemble it numerically what do I have ?

A. 39 = 56/100 * 69 => Not True.

B. 41 = 56/100 * 73 => Not True.

C. 42 = 56/100 * 75 => True.

D. 43 = 56/100 * 77 => Not True.

Therefore the correct answer is C.

Girish P said:   7 years ago
Easiest way to solve this is as follows:

The total percentage of marks is 56%,
so divide 56 by 2,
You get 33, 1%=6 marks, the student has scored 9 marks more so,
33+9=42, the other student marks will be 9 marks less so simple,
42-9=33.
ANSWER=42 & 33.

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.

Aniket said:   1 decade ago
I need help on following question:

A candidate who gets 50% of total marks gets 100 marks more than the pass marks. Another candidate who gets 70% of the first candidates marks failed by 50 marks. How much percent a student needs to pass the exam?

Pawan said:   4 years ago
Answer = C.

1st students marks percentage = 56%,
2nd percentage= 100-56 = 44%,
Difference between marks = 9,
Difference between percentage=56-44 = 12%.
9 = 12% ->1 = 0.75 ->100 = 75(total marks).
56% = 0.75X56 = 42 ,44% = 0.75X44 = 33.
(3)


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