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.

What is the difference between the total number of male visitors who attended the art exhibition on Thursday and the average number of overall visitors (males and females combined) on Monday and Wednesday?


Options

A

None of these

B

204

C

210

D

250

E

240

Show Answer

Correct Answer :

Option B

204

Solution :

The correct answer is 204.


From the pie charts provided in the image, we can extract the following data:
1. Pie Chart (i): Displays the percentage distribution of total visitors (males and females combined) across five days, where total visitors = 1500.
2. Pie Chart (ii): Displays the percentage distribution of female visitors across five days, where total female visitors = 800.

Step 1: Calculate the average number of overall visitors on Monday and Wednesday.
From Pie Chart (i):
- Percentage of overall visitors on Monday = 25%
- Percentage of overall visitors on Wednesday = 15%

Number of overall visitors on Monday = 25100×1500=375

Number of overall visitors on Wednesday = 15100×1500=225

Average number of overall visitors on Monday and Wednesday = 375+2252=6002=300

Step 2: Calculate the total number of male visitors on Thursday.
From Pie Chart (i):
- Percentage of overall visitors on Thursday = 20%

Total visitors on Thursday = 20100×1500=300

From Pie Chart (ii), the number of female visitors on Thursday is 204.

Total male visitors on Thursday = Total visitors on Thursday - Female visitors on Thursday

Male visitors on Thursday=300-204=96

Step 3: Calculate the required difference.
Required Difference = (Average overall visitors on Monday and Wednesday) - (Male visitors on Thursday)

Difference=300-96=204

Therefore, the difference between the total number of male visitors on Thursday and the average number of overall visitors on Monday and Wednesday is 204.

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