Question

In an examination, Tarang got 25% marks and failed by 64 marks. If he had got 40% marks he would have secured 32 marks more than the pass marks. Find the percentage of marks required to pass..

Answer 1

27.5%

Explanation:

Let's denote the total marks of the exam as 'T'.

We know that Tarang got 25% marks and failed by 64 marks, so we can write an equation:

0.25T - 64 = 0 (since he failed)

Solving for T, we get:

T = 256

We also know that if Tarang had got 40% marks, he would have secured 32 marks more than the pass marks. So we can write another equation:

0.4T - Pass marks = 32

Substituting T = 256, we get:

0.4(256) - Pass marks = 32

102.4 - Pass marks = 32

Pass marks = 70.4

Therefore, to pass the exam, Tarang needs to get at least 70.4/T * 100% = 27.5% marks (rounded to one decimal place).