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KVPY2014MathematicsSets and Relations

In a cinema hall, the charge per person is Rs. 200 . On the first day, only 60 % of the seats were filled. The owner decided to reduce the price by 20 % and there was in increase of 50 % in the number of spectators on the next day. The percentage increase in the revenue on the second day was

Options

  1. A50
  2. B40
  3. C30
  4. D20

Correct answer

D. 20

Step-by-step solution

Let total seats =100 on first day, Ticket price =200= 60 100 100=60 Revenue =60 200 R ₁=12000 On second day Tricked price =200-20 % of 200 =200- 20 100 200=200-40=160 Scents full 60+50 % of 60 =60+ 50 100 60 array l = aligned 60+30=90 Revenue =160 90 R ₂=14400 % & Increase is Revenue = R₂-R₁ R₁ 100 &= 14400-12000 12000 100 &= 2400 1200 100 =& 20 % aligned array

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