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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? - Mathematics

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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?

Solution

Let the cost of the entry ticket initially and at present be 10 x and 13x respectively.
Let the number of visitors initially and at present be 6y and 5y respectively.
Initially, total collection = 10x × 6y = 60 xy
At present, total collection = 13x × 5y = 65 xy
Ratio of total collection = 60 xy: 65 xy = 12: 13
Thus, the total collection has increased in the ratio 12: 13.

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Exercise 7(A) | Q: 15 | Page no. 87
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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? Concept: Ratios.
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