Question

Visitors to a show were charged $15$ rupees each on the first day, $7.5$ rupees on the second day and $2.5$ rupees on the third day. The attendance on the three days was in the ratio $2:5:13.$ The average charge per person for the whole show was

• A. $5$ rupees
• B. $6.33$ rupees
• C. $7.5$ rupees
• D. $9$ rupees

Answer 1

The correct option is A $5$ rupees

Let the number of visitors on the three days be $2x,5x$ and $13x$ respectively.
Then, total charges collected on three days
$=(15\times 2x+7.5\times 5x+2.5\times 13x)$
$=(30x+37.5x+32.5x)=100x$
$\therefore$ Average charge per person
$=\frac{100x}{2x+5x+13x}$
$=\frac{100x}{20x}$
$=5$ rupees