Question 102

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.

Solution

Let total number of visitors = 100

Original revenue = 25p * 100 = 2500p

Discounted price = $$\frac{20}{100}$$ * 25p = 5p

=> New price = 25p-5p = 20p

Increase in sale = 28% = $$\frac{28}{100}$$ * 2500p = 700p

=> New revenue = 2500p+700p = 3200p

=> No. of visitors will be = 3200p/20p = 160

=> % increase in visitors = $$\frac{160-100}{100}$$ * 100 = 60%

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