19 persons went to a hotel for a combined dinner party. 13 of them spent Rs., 79 each on their dinne

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$19$ persons went to a hotel for a combined dinner party. $13$ of them spent $Rs.\, 79$ each on their dinner and the rest spent $Rs.\, 4$ more than the average expenditure of all the $19 .$ What was the total money spent by them.

A

$1628.4$

B

$1534$

C

$1492$

D

$1536.07$

Solution

Let the Average expenditure of the party is $x$

$13 \times 79+6(x+4)=19 \times x$

$13 x=13 \times 79+24 \Rightarrow x=\frac{1027+24}{13}=80.84$

Total expenditure of the party $=80.84 \times 19=1536.07$

Standard 13

Quantitative Aptitude

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