Question

In a quarterly examination a student secured 30% marks and failed by 12 marks. In the same examination another student secured 40% marks and got 28 marks more than minimum marks to pass. The maximum marks in the examination is: a) 300 b) 500 c) 700s d) 400

Answer 1

Answer:

400

Step-by-step explanation:

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Answer 2

d) 400

The maximum marks in the examination is 400.

Explanation:

Let x be the maximum marks and y be the minimum marks to pass.

According to the given statements, we have the following system of linear equations.

$y-0.30x=12------------------(1)\\\\ 0.4x-y=28----------------------------(2)$

From (1) , $y=12+0.3x$ (3)

, Put this in equation (2) , we get

$0.4x-(12+0.3x)=28$

$0.4x-12-0.3x=28$

$0.1x=28+12$

$0.1x=40$

Multiply 10 on both sides ,

$x=400$

So , the maximum marks is 400.

Hence, the correct answer is d) 400 .

# Learn more :

A student secured 36% marks in an examination and failed by 32 marks. Another student secured 43% marks and got 24 marks more than the minimum pass marks . find the maximum marks.

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