Question

Entry fee in an exhibition was Rs 20, later this was reduced by 25% which increased the sale by 20%. Thepercentage increase in the number of visitors is?

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Answer 1

Answer:

Complete step-by-step answer:

Let the total original sale in the exhibition be Rs.100.

As the entry fee in the exhibition is Rs.1, the number of visitors = 100

Later the entry fee was reduced by 25%.

Now the entry fee will be 1−1×25100=1−0.25=Rs.0.75

Given that the sale is increased by 20%.

So, the present sale is 100+100×20100=100+20=Rs.120

Now consider the present number of visitors.

The present number of visitors =Present saleReduced entry fee

=1200.75=160

Increase in the number of visitors = present number of visitors – past number of visitors

= 160 – 100 = 60

Thus, the percentage increase in visitors =Increase in the number of visitorspast number of visitors×100

=60100×100=60%

Hence, the percentage of the increase in the business is 60%.

Note: Here we have taken the original sale in the exhibition as Rs.100 because this will lead us to have simple calculations in the entire solution as this problem is related to increase and decrease in percentage.