The pie-chart shows the amount of money (in ₹) spent (in degrees) on various sports by a school administration in a particular year.

Amount of money (in ₹) spent (in degrees) on various sports by a school administration in a particular year

If ₹21,000 was spent on Football, then the money spent on Tennis and Basketball taken together is what percentage (rounded off to 2 decimal places) of money spent on Hockey and Cricket taken together?

The correct answer is 32.75%.

Based on the provided pie chart image, the central angle spent on each sport is given as follows:

• Hockey = 94°
• Cricket = 135°
• Basketball = 40°
• Tennis = 35°
• Football = 42°
• Badminton = 14°

Step 1: Find the total degree measure for Tennis and Basketball taken together.

$\text{Degree spent on Tennis and Basketball}=35°+40°=75°$

Step 2: Find the total degree measure for Hockey and Cricket taken together.

$\text{Degree spent on Hockey and Cricket}=94°+135°=229°$

Step 3: Calculate the required percentage.

Since the percentage ratio between categories in a pie chart is directly proportional to their central angles, the absolute monetary amount spent on Football (₹21,000) is redundant extra information.

The required percentage is calculated as:

$\text{Percentage}=\left(\frac{\text{Total degree for Tennis \& Basketball}}{\text{Total degree for Hockey \& Cricket}}\right)\times 100$

$\text{Percentage}=\left(\frac{75}{229}\right)\times 100=\frac{7500}{229}\approx 32.75109\%$

Rounding off to 2 decimal places, we get 32.75%.