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By increasing...

Question

By increasing the cost of entry ticket to a fair in the ratio $10 : 13$ , the number of visitors to the fair has decreased in the ratio $6 : 5$ . In what ratio has the total collection increased or decreased?

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Solution

Let original Tickets cost Rs 10 and and number of visitors is 600
Original revenue: $10 x 600 = R s 6000$
After increase in cost of ticket
Tickets cost Rs 13 and number of visitors is 500
New Revenue: $13 x 500 = R s 6500$
Increase of total collection ratio: $6500 / 6000$ becomes $13 : 12$

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