CSATPercentage, Profit & LossPercentage Arithmetic2019

In an examination, A has scored 20 marks more than B. If B has scored 5% less marks than A, how much has B scored?

A

360

B

380

C

400

D

420

Correct Answer: Option B

Explanation

The question gives us the difference between A and B's marks in two different languages:\n1. Absolute language: The difference is 20 marks.\n2. Percentage language: B is 5% less than A. This means the difference is 5% of A.\n\nFrom previous years' analysis, specifically the 'Focusing on the Gap' concept [39], we know we can equate these two.\n\nSo, 5% of A = 20 marks.\n\nTo find A's total score (100%), we can simply scale this up. Since 5% fits into 100% exactly 20 times:\nA's Score = 20 marks * 20 = 400 marks.\n(This use of 'Linear Scaling' is consistent with the 2018 PYQ strategy [53]).\n\nThe question asks for B's score.\nSince B scored 20 marks less than A:\nB = 400 - 20 = 380.\n\nFinal verification: If A is 400, 5% is 20. 400-20=380. Correct.

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