Question

In a zoo , the price of tickets is increased by $10\%$ and the number of visitors increases by $12.5\%$ then find by how much the collection of zoo is increased ?

• A. $22.5\%$
• B. $23.25\%$
• C. $23.75\%$
• D. $24.5\%$

Answer 1

The correct option is C $23.75\%$

Let the initial price of the ticket be $x$ & no. of visitors be $y.$

Total collection $=xy$

New price $=x+\frac{10}{100}x=1.1x$

No. of visitors $=y+\frac{12.5}{100}y=1.125y$

Total collection $=\left(1.1x\right)\left(1.125\right)y$ $=1.2375xy$

$\%$ Increase $=\frac{1.2375xy-xy}{xy}\times 100$

$=23.75\%$.