By increasing the price of entry ticket to a fair in the ratio 5:7, the number of visitors to the fair has decreased in the ratio 11:9. In what ratio has the total collection increased or decreased?

Let cost of original ticket = Rs 5 and and number of visitors = 110

=> Original revenue = 5 $$\times$$ 110 = Rs 550

After increase in cost of ticket

New cost of ticket = Rs 7 and number of visitors = 90

=> New Revenue = 7 $$\times$$ 90 = Rs 630

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

$$\therefore$$ Increase of total collection ratio = $$\frac{550}{630}$$ = 55 : 63

=> Ans - (A)