Q. P scored 40 marks more than Q in an examination. If Q scored 10% less marks than P, then how much did Q score.
(a) 360
(b) 380
(c) 400
(d) 420
Correct Answer: (a) 360
Question from UPSC Prelims 2021 CSAT Paper
Explanation :
P scored 40 marks more than Q in an examination
Given:
– P scored x marks
– P scored 40 marks more than Q
– Q scored 10% less than P
Step 1: Initial Equations
– Q’s marks = x – 40 (40 less than P)
– Q’s marks = 0.9x (10% less than P)
Step 2: Solve for x
– x – 40 = 0.9x
– x – 0.9x = 40
– 0.1x = 40
– x = 400
Final Scores:
– P scored 400 marks
– Q scored 360 marks (400 – 40)