1. 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?
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By: anil on 05 May 2019 02.12 am
Let cost of original ticket = Rs 3 and and number of visitors = 160
=> Original revenue = 3 $$ imes$$ 160 = Rs 480 After increase in cost of ticket New cost of ticket = Rs 7 and number of visitors = 130 => New Revenue = 7 $$ imes$$ 130 = Rs 910 Since, new revenue is greater than original revenue, thus total collection has increased. $$ herefore$$ Increase of total collection ratio = $$frac{480}{910}$$ = 48 : 91 => Ans - (B)
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=> Original revenue = 3 $$ imes$$ 160 = Rs 480 After increase in cost of ticket New cost of ticket = Rs 7 and number of visitors = 130 => New Revenue = 7 $$ imes$$ 130 = Rs 910 Since, new revenue is greater than original revenue, thus total collection has increased. $$ herefore$$ Increase of total collection ratio = $$frac{480}{910}$$ = 48 : 91 => Ans - (B)