
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 AShow Answer
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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