The average pocket money of 3 friends A, B, a | vedclass

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Question

(A) Let the total pocket money of $A, B,$ and $C$ be $T_p$.Given that the average pocket money is $Rs. 80,$ so $T_p = 80 	imes 3 = 240$.Let the total

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) Let the total pocket money of $A, B,$ and $C$ be $T_p$.Given that the average pocket money is $Rs. 80,$ so $T_p = 80 	imes 3 = 240$.Let the total unspent money be $T_u$.Given that the average unspent money is $Rs. 60,$ so $T_u = 60 	imes 3 = 180$.The total amount spent by the three friends is $T_p - T_u = 240 - 180 = 60$.Let $A$ spend $Rs. x$. Then $B$ spends $Rs. 2x$ and $C$ spends $Rs. 3x$.According to the problem,the sum of their expenditures is $x + 2x + 3x = 60$.$6x = 60 \Rightarrow x = 10$.Therefore,$A$ spends $Rs. 10$.

The average pocket money of $3$ friends $A, B,$ and $C$ is $Rs. 80$ per 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 how much does $A$ spend (in $Rs.$)?

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