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.
Correct Answer :
20 Rs
Solution :
The correct answer is 20 Rs.
From the given line graph, we can see that the total number of people (male + female) who visited Park D is 96. From the table, the fraction of males out of the total people who visited Park D is:
First, let us calculate the number of male and female visitors for Park D:
Number of males who visited Park D:
Number of females who visited Park D:
Let the price of a ticket for a male visitor be Rs.
Since females receive a discount of 20% compared to males, the price of a ticket for a female visitor is:
The total revenue received by Park D from all visitors is Rs 2280. We can write the revenue equation as:
Thus, the price of a ticket for a male visitor is Rs 25. The price of a ticket for a female visitor is:
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