In the Regional Science center, Lucknow the rate of the ticket is increased by 50%

Ques - In the Regional Science center, Lucknow the rate of the ticket is increased by 50% to increased the revenue, but simultaneously 20% of the visitor decreased. What is percentage change in the revenue of Regional Science Center. If it is known that center collects the revenue only from the visitors and it has no other financial supports:

A. +20%

B. -25%

C. +30%

D. Cannot determined

Solution -

Let,

The rate of ticket = 100

The rate of ticket is increased = 50% of 100

= 100 + [(50/100)*100]

= 100 + 50

= 150

Let, No. of visitor = 100

But,

No. of visitor is decreased = 20% of 100

= 100 - [(20/100)*100]

= 100 - 20

= 80

Initial Revenue = No. of visitor * rate of ticket

= 100 * 100

= 10000

New Revenue = New No. of visitor * New rate of ticket

= 80 * 150

= 12000

Change in the revenue = new revenue - initial revenue

= 12000 - 10000

= 2000

Percentage change in the revenue = (2000/10000)*100

= 20% 

Therefore,

The percentage change in the revenue = 20%

Hence,

The correct answer is option (a) 20% .

Thank You