Question Details

The line graph given below shows total number of people (male + female) visited four different parks (A, B, C and D) and table shows fraction of male out of total people visited these four parks. Read the data carefully and answer the questions below.

If there is discount of 20% on each ticket for females as compare to male and total revenue received by park D from all the people is Rs 2280, then find the price of each ticket for female.

Options

A

20 Rs

B

25 Rs

C

24 Rs

D

12 Rs

E

30 Rs

Show Answer

Correct Answer :

Option A

20 Rs

20 Rs

Solution :

Based on the line graph titled "Number of People (Male + Female) Visited Different Parks" and the corresponding table showing the "Fraction of male out of total people", we can extract the following information for Park D:
Total number of people (male + female) who visited Park D = 96
Fraction of males who visited Park D = 34

First, we find the number of male and female visitors for Park D:
Number of males:
Number of males=96×34=72
Number of females:
Number of females=9672=24

Let the price of each ticket for a male be Rs x.
Since there is a 20% discount on each ticket for females as compared to males, the price of each ticket for a female is:
Price for female=x×(10.20)=0.8x

The total revenue received by Park D is Rs 2280. We can write the revenue equation as:
(Number of males×Price for male)+(Number of females×Price for female)=2280
(72×x)+(24×0.8x)=2280
72x+19.2x=2280
91.2x=2280
x=228091.2=25

Thus, the price of a ticket for a male is Rs 25.
The price of each ticket for a female is:
0.8×25=20 Rs

Therefore, the price of each ticket for a female is 20 Rs.

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