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:
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 12 of 18.
Karthikeyan said:
9 years ago
Can you please explain why we keep in x + 9 on the left side?
Piyush Pankaj said:
9 years ago
Thanks @Neelu.
Roja said:
9 years ago
Thank you @Ganesh.
Bgnr said:
9 years ago
I am confused it says the sum of their marks. Then it should be like this.
x + x + 9 = 56/100.
Can anyone explain this?
x + x + 9 = 56/100.
Can anyone explain this?
(1)
Anirudh razdan said:
9 years ago
Why do we equate it to x + 9? Why not x?
Shubham thakur said:
9 years ago
It's very simple.
If 1student got 56% that means other got 44%.
56 - 44 = 12%.
Fr 12%~9 is there,
So, for 100% ~99.
Only pair which satisfies it is 39 & 30.
That it.
If 1student got 56% that means other got 44%.
56 - 44 = 12%.
Fr 12%~9 is there,
So, for 100% ~99.
Only pair which satisfies it is 39 & 30.
That it.
Prudhvira said:
9 years ago
Please, explain in a simple way.
Uto hussain said:
9 years ago
Let's say 'x' is the mark of the first person.
Then from the question, the mark of a 2nd person is 'x + 9'.
Since the percentage of the 2nd person is given i.e. 56%.
We can solve the x value using the below formula.
Per% of 2nd person = mark of 2nd person * 100/ (total marks i.e x + x + 9).
56 = ((x + 9) *100) / (x + x + 9).
Then from the question, the mark of a 2nd person is 'x + 9'.
Since the percentage of the 2nd person is given i.e. 56%.
We can solve the x value using the below formula.
Per% of 2nd person = mark of 2nd person * 100/ (total marks i.e x + x + 9).
56 = ((x + 9) *100) / (x + x + 9).
Arshad said:
10 years ago
Try by Back Solving Method:
Lets try c: 42, 33 so it means total marks are : 42 + 33 = 75 Marks.
Let's try to find out 56 % from marks given in option C.
42 * 100/75 = 56 %
33 * 100/75 = 44 %.
So option C is the correct answer .
Lets try c: 42, 33 so it means total marks are : 42 + 33 = 75 Marks.
Let's try to find out 56 % from marks given in option C.
42 * 100/75 = 56 %
33 * 100/75 = 44 %.
So option C is the correct answer .
Babajan said:
10 years ago
Which formula of percentage are used in this question?
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