Question 40

By increasing the price of entry ticket to a fair in the ratio 17:19, the number of visitors to the fair has decreased in the ratio 11:10. In what ratio has the total collection increased or decreased?

Solution

Let cost of original ticket = Rs 17 and and number of visitors = 110

=> Original revenue = 17 $$\times$$ 110 = Rs 1870

After increase in cost of ticket

New cost of ticket = Rs 19 and number of visitors = 100

=> New Revenue = 19 $$\times$$ 100 = Rs 1900

Since, new revenue is greater than original revenue, thus total collection has increased.

$$\therefore$$ Increase of total collection ratio = $$\frac{1870}{1900}$$ = 187 : 190

=> Ans - (B)


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