Question Details

Directions: Read the following details carefully and answer the question that follows.

Pie chart (i) displays the percentage distribution of total visitors (males and females combined) who visited an art exhibition on five different days of the week. Pie chart (ii) displays the percentage distribution of female visitors who attended the exhibition across the same five days.

If the admission ticket price for each male and each female visitor at the art exhibition on Thursday is Rs 40 and Rs (X + 5) respectively, and the overall revenue collected by the exhibition on Thursday is Rs 16800, then find the value of X.

Options

A

55

B

40

C

60

D

45

E

50

Show Answer

Correct Answer :

Option C

60

Solution :

The correct answer is 60.

Step 1: Understand the data given in the pie charts
From the provided pie charts:

1. Pie chart (i) displays the percentage distribution of total visitors (males and females combined) across five days, where the total count is 1500.
2. Pie chart (ii) displays the percentage distribution of female visitors across the five days, where the total count is 800.
3. Percentage of total visitors on Thursday = 20% (yellow sector in Pie chart i).
4. Percentage of female visitors on Thursday = 30% (yellow sector in Pie chart ii).

Step 2: Calculate the total number of visitors on Thursday

Total visitors on Thursday = 20 % of 1500

Total visitors on Thursday = 20 100 × 1500 = 300

Step 3: Calculate the number of female visitors on Thursday

Female visitors on Thursday = 30 % of 800

Female visitors on Thursday = 30 100 × 800 = 240

Step 4: Calculate the number of male visitors on Thursday

Male visitors on Thursday = Total visitors on Thursday - Female visitors on Thursday

Male visitors on Thursday = 300 - 240 = 60

Step 5: Calculate the revenue generated from male visitors
The admission ticket price for each male visitor on Thursday is Rs 40.

Revenue from males = 60 × 40 = Rs 2400

Step 6: Calculate revenue from female visitors and determine X
The overall revenue collected by the exhibition on Thursday is Rs 16800.

Revenue from females = Total overall revenue - Revenue from males

Revenue from females = 16800 - 2400 = Rs 14400

The rate per female visitor is calculated as:

Ticket price per female = 14400 240 = 60

Thus, the value of X is 60.

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