Out of 9 persons,8 persons spent Rs. 30 each | vedclass

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Question

(C) Let the total money spent by all $9$ persons be $x$.The average expenditure of all $9$ persons is $\frac{x}{9}$.The expenditure of the first $8$ p

Vedclass · Accepted Answer

$292.50$

Vedclass · Answer

(C) Let the total money spent by all $9$ persons be $x$.The average expenditure of all $9$ persons is $\frac{x}{9}$.The expenditure of the first $8$ persons is $8 	imes 30 = 240$.The expenditure of the ninth person is $\frac{x}{9} + 20$.According to the problem,the sum of the expenditures of all $9$ persons equals the total expenditure $x$:$240 + (\frac{x}{9} + 20) = x$$260 + \frac{x}{9} = x$$260 = x - \frac{x}{9}$$260 = \frac{8x}{9}$$x = \frac{260 	imes 9}{8}$$x = 32.5 	imes 9 = 292.5$Thus,the total money spent by all of them is $Rs. 292.50$.

Out of $9$ persons,$8$ persons spent $Rs. 30$ each for their meals. The ninth one spent $Rs. 20$ more than the average expenditure of all the nine. The total money spent by all of them was (in $Rs.$)

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