A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

Name: A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is
Uploaded: 2026-01-18T12:18:54.344151+05:30
Duration: 3 min 28 s
Description: A candidate scoring 25% marks in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than those required to pass. The pass percentage is

Solution

Let the total or max. marks be "T" and let the passing marks be "P" .
It is given : 25 % of T = P - 30
$$\ \dfrac{\ T}{4}=P-30$$

It is also given : 50% of T = P + 20
$$\ \dfrac{\ T}{2}=P+20$$

Therefore, P = 80 & T = 200.

Hence, the pass marks percentage is 40% .