Question

X 23. To attract more visitors, Zoo authority announces 20%
discount on every ticket which costs 25 paise. For this
reason, sale of ticket increases by 28%. Find the
percentage of increase in the number of visitors​

Answer 1

Answer:

Percentage increase is 60%

Step-by-step explanation:

As per the question,

The cost of ticket is 25 paise = $\frac{1}{4}$

The discount given on the ticket = 20%

So,

The Price of the ticket after the discount = $\frac{1}{4}-\frac{1}{4}\times\frac{1}{5}=\frac{1}{5}$

Now,

Let us take the number of visitors initially = x

So,

The sale in the beginning is given by,

$x\times \frac{1}{4}=\frac{x}{4}$

Now,

The sale is increased by = 28%

Therefore, the new sale = $\frac{x}{4}+\frac{28}{100}\times \frac{x}{4}=0.32x$

Now, the number of visitors finally is given by,

Final sale divided by Final price.

So,

Number of visitors,

$\frac{0.32x}{\frac{1}{5}}=1.6x$

Therefore, the increase in the percentage of the visitors is given by,

$Percentage \ increase = \frac{Final-Initial}{Initial}\times 100=\frac{1.6x-x}{x}\times 100 =60 \%$

Therefore, the Percentage increase is 60%