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

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Solution

The correct option is D
20

Let total seats = 100 on first day,

Ticket price = 200

Seats full = 60 $%$

$= \frac{60}{100} \times = 60$

$∴$ Revenue = 60 $\times$ 200

$R_{1}$ = 12000

On second day

Tricked price = 200 - 20 $%$ of 200

$= 200 - \frac{20}{100} \times 200$

= 200 - 40 = 160

Seats full 60 + 50 $%$ of 60

$= 60 + \frac{50}{100} \times 60$

= 60 + 30 = 90

Revenue = 160 $\times$ 90

$R_{2}$ = 14400

$%$ Increase is Revenue = $\frac{R_{2} - R_{1}}{R_{1}} \times 100$

$\frac{14400 - 12000}{12000} \times 100$

$= \frac{2400}{1200} \times 100$

$= 20 %$

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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

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