A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than those required to pass. The pass percentage is-
Solution
Correct Answer: Option A
Let, total mark is x
Now,
0.3x + 15 = 0.4x - 35
⇒ 0.4x - 0.3x = 35 + 15
⇒ 0.1x = 50
⇒ x = 50/0.1
∴ x = 500
Pass mark = 0.3 × 500 + 15
= 150 + 15
= 165
Pass percentage = (165/500) × 100%
= 33%
Now,
0.3x + 15 = 0.4x - 35
⇒ 0.4x - 0.3x = 35 + 15
⇒ 0.1x = 50
⇒ x = 50/0.1
∴ x = 500
Pass mark = 0.3 × 500 + 15
= 150 + 15
= 165
Pass percentage = (165/500) × 100%
= 33%
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