Question
To attract more visitors, zoo authority announces 20% discount on every ticket which cost 25 paise. For this reason, sale of ticket increase by 28%. Find the percentage of increase in the number of visitors ?
Answer: Option C
Let the number of visitors in the beginning = 100
$$\eqalign{
& {\text{Total revenue}} \cr
& = 0.25 \times 100 \cr
& = {\text{Rs}}{\text{. 25}} \cr
& {\text{New price}} \cr
& = 25 \times \frac{{80}}{{100}} \cr
& = 0.20{\text{ or 20 paise}} \cr
& {\text{New revenue}} \cr
& = 25 \times \frac{{128}}{{100}} \cr
& = {\text{Rs}}{\text{. 32}} \cr
& {\text{Number of visitors now}} \cr
& = \frac{{32}}{{0.20}} \cr
& = 160 \cr
& {\text{Change in number of visitor }}\% \cr
& = \frac{{160 - 100}}{{100}} \times 100 \cr
& = 60\% \cr} $$
Was this answer helpful ?
Let the number of visitors in the beginning = 100
$$\eqalign{
& {\text{Total revenue}} \cr
& = 0.25 \times 100 \cr
& = {\text{Rs}}{\text{. 25}} \cr
& {\text{New price}} \cr
& = 25 \times \frac{{80}}{{100}} \cr
& = 0.20{\text{ or 20 paise}} \cr
& {\text{New revenue}} \cr
& = 25 \times \frac{{128}}{{100}} \cr
& = {\text{Rs}}{\text{. 32}} \cr
& {\text{Number of visitors now}} \cr
& = \frac{{32}}{{0.20}} \cr
& = 160 \cr
& {\text{Change in number of visitor }}\% \cr
& = \frac{{160 - 100}}{{100}} \times 100 \cr
& = 60\% \cr} $$
Was this answer helpful ?
Submit Solution