Question

The fee for musical concert is 1rupee later reduced by 20percent through which net collection increased by 40 percent the increase in no of visitors is

Answer 1

Hey Dear,

◆ Answer -

Percentage increase in no of visitors = 75 %

● Explanation -

Let x and y be the initial and final number of visitors for musical concert.

Before fee reduction,

Net collection = x

Later fee was reduced by 20 %.

Later fee = 1 × (100-20)/100

Later fee = 0.8 Rs

Net collection after fee reduction,

Net collection = 0.8y

Given that net collection increased by 40% after fee reduction.

x × (100+40)/100 = 0.8 × y

1.4x = 0.8y

y = 1.4x / 0.8

y = 1.75x

y = 175% x

Therefore, percentage increase in no of visitors is

Percentage increase in no of visitors = (1.75x-x)/x

Percentage increase in no of visitors = 0.75 = 75 %

Best luck...