Answer to Question #162162 in Algebra for Surendra Singh

Question

To attract more visitors, zoo authority announces 20% discount on every ticket which cost 29 paise. For this reason sale increases by 28% . Find the percentage of increase in the number of visitors.

Answer 1

Let the number of visitors in beginning = 100 (say)

$\Rightarrow$ Total revenue = 0.29 $\times$ 100 = 29 Rupees

New price after discount = 29 $\times$ $\dfrac{80}{100}$

$\rightarrow$ 23.2 Paise or 0.232 Rupees

New revenue = 29 $\times$ $\dfrac{128}{100}$

$\rightarrow$ 37.12 Rupees

Number of visitors now = $\dfrac{37.12}{0.232}$ = 160

% change in number of visitors =$\dfrac{160-100}{100}$ = 60

Hence, 60% of increase in number of visitors.

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