Question : The price of the entry ticket at the fun park was increased in the ratio 7 : 9, due to which, footfalls fell in the ratio 13 : 11. What is the new daily collection (in Rs.), if the daily collection before the price hike was Rs. 2,27,500?
Option 1: 2,37,500
Option 2: 2,47,500
Option 3: 2,32,500
Option 4: 2,42,500
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Correct Answer: 2,47,500
Solution :
Given:
The price of the entry ticket increased in the ratio of 7 : 9 and footfalls fell in the ratio of 13 : 11.
Daily collection = (Price of one ticket) × (Footfall per day)
⇒ Ratio of daily collection before and after the price hike = (7 × 13) : (9 × 11) = 91 : 99
Daily collection before the price hike was Rs. 2,27,500.
So, the new daily collection = $227500×\frac{99}{91}$ = Rs. 247500
Hence, the correct answer is 2,47,500.
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