The average monthly pocket money of Ram and Shyam is ₹2,460, Shyam and Manohar is ₹2,380 and Manohar and Ram is ₹2,760. Find the monthly pocket money of Ram alone.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. ₹2,840.
Take R = Ram, S = Shyam, M = Manohar
R + S = 2 × 2460 = 4920 .....(1)
S + M = 2 × 2380 = 4760 .....(2)
M + R = 2 × 2760 = 5520 .....(3)
So, (R + S) + (S + M) + (M + R) = 4920 + 4760 + 5520
⇒ 2(R + S + M) = 15200
⇒ R + S + M = 7600 .....(4)
(4) - (2) ⇒ (R + S + M) - (S + M) = 7600 - 4760
⇒ R = 2840