Question 93

By increasing the price of entry ticket to a fair in the ratio 11:16, the number of visitors to the fair has decreased in the ratio 19:9. In what ratio has the total collection increased or decreased?

Solution

Let cost of original ticket = Rs 11 and and number of visitors = 190

=> Original revenue = 11 $$\times$$ 190 = Rs 2090

After increase in cost of ticket

New cost of ticket = Rs 16 and number of visitors = 90

=> New Revenue = 16 $$\times$$ 90 = Rs 1440

Since, new revenue is smaller than original revenue, thus total collection has decreased.

$$\therefore$$ Decrease of total collection ratio = $$\frac{2090}{1440}$$ = 209 : 144

=> Ans - (A)


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