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.

Calculate the ratio of the total number of male visitors at the exhibition on Tuesday and Wednesday combined to the total number of female visitors on Monday and Friday combined.

The correct option is 51:88.


Step 1: Analyze the data given in the pie charts.

From pie chart (i):
Total visitors (males and females combined) = 1500.
• Tuesday visitors = 10%
• Wednesday visitors = 15%

From pie chart (ii):
Total female visitors = 800.
• Monday female visitors = 30%
• Tuesday female visitors = 5%
• Wednesday female visitors = 10%
• Friday female visitors = 25%

Step 2: Calculate the total number of male visitors on Tuesday and Wednesday combined.

For Tuesday:

Total visitors on Tuesday = $10\%\text{of}1500=\frac{10}{100}\times 1500=150$

Female visitors on Tuesday = $5\%\text{of}800=\frac{5}{100}\times 800=40$

Male visitors on Tuesday = $150-40=110$

For Wednesday:

Total visitors on Wednesday = $15\%\text{of}1500=\frac{15}{100}\times 1500=225$

Female visitors on Wednesday = $10\%\text{of}800=\frac{10}{100}\times 800=80$

Male visitors on Wednesday = $225-80=145$

Total male visitors on Tuesday and Wednesday combined = $110+145=255$

Step 3: Calculate the total number of female visitors on Monday and Friday combined.

Female visitors on Monday = $30\%\text{of}800=\frac{30}{100}\times 800=240$

Female visitors on Friday = $25\%\text{of}800=\frac{25}{100}\times 800=200$

Total female visitors on Monday and Friday combined = $240+200=440$

Step 4: Find the required ratio.

Required ratio = $\text{Male visitors (Tuesday + Wednesday)}:\text{Female visitors (Monday + Friday)}$

Ratio = $255:440$

Dividing both terms by 5 to reduce to simplest form:

$\text{Ratio}=51:88$

Thus, the required ratio is 51:88.