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The average pocket money of 3 friend A, B, C is Rs. 80 in a particular month. If B spends double and C spends triple of what A spends during that month and if the average of their unspent pocket money is Rs. 60, then A spends (in Rs.)-

A. Rs. 10 B. Rs. 20 C. Rs. 30 D. Rs. 40 Answer: Option A
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Solution(By Apex Team)

$\begin{array}{l}\text{According to the question,}\\ \text{ Pocket money }\\ \Rightarrow\frac{A+B+C}{3}=80\\ \Rightarrow A+B+C=240\\ \text{Unspent pocket money}\\ \Rightarrow\frac{A+B+C}{3}=60\\ \Rightarrow A+B+C=180\\ \text{Spent pocket money }\\ =240-180\\ =\text{Rs.}\ 60\\ \text{Given:}\\ \frac{B}{A}=\frac{2}{1}\text{ and }\frac{C}{A}=\frac{3}{1}\end{array}$ So, A ,B and C spent 1, 2 and 3 units respectively. $\begin{array}{l}\text{Total spent A, B C = 6 units}\\ \text{6 units ——– 60}\\ \text{1 unit ——— 10}\\ \text{∴ A spent = 1 × 10 = Rs. 10}\end{array}$

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