Average pocket-money of 3 friends A, B, C is Rs., 80 month. If B spends double and C spends triple o

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The average pocket-money of $3$ friends $A, B, C$ is $Rs.\, 80$ $month.$ If $B$ spends double and $C$ spends triple of whate $A$ spends during that month and if the average of their unspent pocketemoney is $Rs.$ $60,$ then $A$ spends (in $Rs.$)

A

$10$

B

$20$

C

$30$

D

$40$

Solution

Total pocket money of $A , B , C$

i.e. $\quad A+B+C=80 \times 3=240$

Total money unspent $=60 \times 3=180$

Now let A spend Rs $x$ the $B$ spends $2 x$ and $C$ spend $3 x$

Then, $\quad x+2 x+3 x=(240-180)$

$6 x=60 \Rightarrow x=10$

A spends $Rs. \,10$

Standard 13

Quantitative Aptitude

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