Visitors to a show were charged Rs., 15 each on first day, Rs., 7.50 on second day, Rs., 2.50 on thi

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Visitors to a show were charged $Rs.\, 15$ each on the first day, $Rs.\, 7.50$ on the second day, $Rs.\, 2.50$ on the third day and total attendance on three days were in the ratio $2: 5: 13$ respectively. The average charge per person for the entire three days is (in $Rs.$)

A

$5$

B

$5.50$

C

$6$

D

$7$

Solution

Attendance be $2 x, 5 x, 13 x$

Average charge per person $=\frac{2 x+15+7.5 \times 5 x+13 x \times 2.5}{20 x}$

$=\frac{30 x+37.5 x+32.5 x}{20 x}$

$=\frac{100 x}{20 x}=5$

Standard 13

Quantitative Aptitude

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