By increasing the price of entry ticket to a fair in the ratio 3:7, the number of visitors to the fair has decreased in the ratio 16:13. In what ratio has the total collection increased or decreased?

Let cost of original ticket = Rs 3 and and number of visitors = 160

=> Original revenue = 3 $$\times$$ 160 = Rs 480

After increase in cost of ticket

New cost of ticket = Rs 7 and number of visitors = 130

=> New Revenue = 7 $$\times$$ 130 = Rs 910

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

$$\therefore$$ Increase of total collection ratio = $$\frac{480}{910}$$ = 48 : 91

=> Ans - (B)