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The entry ticket at a cinema hall 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. 4,55,000?
1. Rs. 500000
2. Rs. 495000
3. Rs. 395000
4. Rs. 485000

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Correct Answer - Option 2 : Rs. 495000

Given:

The entry ticket at a fun park was increased in the ratio 7 ∶ 9, due to which footfalls fell in the ratio 13 ∶ 11.

Formula used:

Revenue = number of tickets × price of 1 ticket 

Calculations:

The ratio of collection before the price hike to after the price hike = (7 × 13) ∶ (9 × 11) = 91 ∶ 99

Let the collection before the price hike and after the price hike be 91x and 99x.

According to the question 

⇒ 91x = 455000

⇒ x = 5000

The collection after price hike = 99 × 5000 = Rs. 495000

∴ The collection after price hike is Rs. 495000.

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