# Percentages : XAT 2016 / XAT 2016 Math Practice Question

This question is an arithmetic question from the topic Percentages.

## Question

Peter got 30% of the maximum marks in an examination and failed by 10 marks. However, Paul who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What was the passing marks in the examination?

- 35
- 250
- 75
- 85

#### Correct Answer

**85**. Choice (4)

#### Explanatory Answers

Let 'x' be the maximum marks in the examination.

Therefore, Peter got 30% of x =

= 0.3x

And Paul got 40% of x =

= 0.4x.

In terms of the maximum marks Paul got 0.4x - 0.3x = 0.1x more than Peter. -- (1)

The problem however, states that Paul got 15 marks more than the passing mark and Peter got 10 marks less than the passing mark.
Therefore, Paul has got 15 + 10 = 25 marks more than Peter. -- (2)

Equating (1) and (2), we get

0.1x = 25 => x =

= 250

'x' is the maximum mark and is equal to 250 marks.

We know that Peter got 30% of the maximum marks.

Therefore, Peter got

= 75 marks.

We also know that Peter got 10 marks less than the passing mark.

Therefore, the passing mark will be 10 marks more than what Peter got = 75 + 10 = 85.

Correct Answer (4)

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