UPSC Prelims 2021·CSAT·Quantitative Aptitude·Arithmetic

P scored 40 marks more than Q in the examination. If Q scores 10% less marks than P, then how much did Q score?

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Last updated 23 May 2026, 3:31 pm IST
  1. A360Correct
  2. B380
  3. C400
  4. D420

Explanation

To solve this problem, we can use simple algebra. Let the marks scored by P be x. According to the question, Q scored 10 percent less than P. This means Q scored 90 percent of P, which is 0.9x. The difference between their marks is given as 40. So, we can set up the equation: P minus Q equals 40 x minus 0.9x equals 40 0.1x equals 40 x equals 40 divided by 0.1 x equals 400 Since P scored 400 marks, we calculate Q's score by subtracting 40 from P's score. Q equals 400 minus 40 Q equals 360 Therefore, Q scored 360 marks. The correct option is A.
Quantitative Aptitude: P scored 40 marks more than Q in the examination. If Q scores 10% less marks than P, then how much did Q score?
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