The average pocket money of three children X, Y and Z of a family is ₹2,500 in a particular month. Y spends double and Z spends triple of what X spends during that month. If the average of their unspent money is ₹2,100, then X spends (in ₹):
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 200.
Let X spends = x
Then Y spends = 2x, Z spends = 3x
Total money = 3 × 2500 = ₹7500
Total spent = x + 2x + 3x = 6x
Unspent = 7500 - 6x
Average unspent money = 2100 → total unspent = 2100 × 3 = ₹6300
So,7500 - 6x = 6300
⇒ 6x = 1200
⇒ x = ₹200