Problem Solving

If the circus were to sell all of its 220 tickets for this month's performance at their usual price, the revenue from sales would be 10% greater than that collected last month. However, the circus raised the ticket price by 5% and sold only 200 tickets as a result. What percent less was last month's revenue than that of this month?

* 2
* 5
*100/21
*110/20
* 9/4

ans is C 100/21

Let revenue last month be r

Given 220*p=1.1r (220 tckts at p price gives 110% )

r = 220p/1.1 = 200p ---- last months revenue

Now if price is incresed by 5%

200(1.05p) = 210p -- this month

Difference is 10p

So (10p/210p) *100 = 100/21

Whats the OA ?

rchadha7 wrote:ans is C 100/21

Let revenue last month be r

Given 220*p=1.1r (220 tckts at p price gives 110% )

r = 220p/1.1 = 200p ---- last months revenue

Now if price is incresed by 5%

200(1.05p) = 210p -- this month

Difference is 10p

So (10p/210p) *100 = 100/21

Whats the OA ?

Agree!

The OA is C. Many thanks for the explanation.

[quote="hopetobeat"][quote="rchadha7"]ans is C 100/21

Let revenue last month be r

Given 220*p=1.1r (220 tckts at p price gives 110% )

r = 220p/1.1 = 200p ---- last months revenue

Now if price is incresed by 5%

200(1.05p) = 210p -- this month

Difference is 10p

So (10p/210p) *100 = 100/21

Whats the OA ?[/quote]

Agree![/quote]

rchadha7 wrote:ans is C 100/21

Let revenue last month be r

Given 220*p=1.1r (220 tckts at p price gives 110% )

r = 220p/1.1 = 200p ---- last months revenue

Now if price is incresed by 5%

200(1.05p) = 210p -- this month

Difference is 10p

So (10p/210p) *100 = 100/21

Whats the OA ?

Hi Guys, I was wondering why are we putting the difference over this month's revenue and not last month's revenue? Thanks for explanation

Sonia