The given pie chart shows the amount of money (₹) spent (in degrees) on various sports by a sports academy in a particular year. Study the pie chart and answer the question that follows.

![Screenshot 2025-05-13 235556.png](https://res.cloudinary.com/aptidude/image/upload/v1747160889/aptidude_questions/oaijov10xf4ashwsivxa.png)

If ₹42,000 were spent on Soccer, then the money spent on Badminton, Tennis and Rugby taken together is what percentage (rounded off to 2 decimal places) more/less than the money spent on Cricket, Swimming and Hockey taken together?

Question

The given pie chart shows the amount of money (₹) spent (in degrees) on various sports by a sports academy in a particular year. Study the pie chart and answer the question that follows.

![Screenshot 2025-05-13 235556.png](https://res.cloudinary.com/aptidude/image/upload/v1747160889/aptidude_questions/oaijov10xf4ashwsivxa.png)

If ₹42,000 were spent on Soccer, then the money spent on Badminton, Tennis and Rugby taken together is what percentage (rounded off to 2 decimal places) more/less than the money spent on Cricket, Swimming and Hockey taken together?

Accepted Answer

Step 1: Understand the problem
- The pie chart shows the amount of money spent on various sports in degrees.
- We know the amount spent on Soccer (35°) is ₹42,000.

Step 2: Calculate the amount per degree  
- Amount per degree = ₹42,000 / 35 = ₹1,200 per degree.

Step 3: Calculate amounts spent on each sport using degrees:
- Cricket (100°): 100 × 1,200 = ₹120,000  
- Swimming (60°): 60 × 1,200 = ₹72,000  
- Badminton (45°): 45 × 1,200 = ₹54,000  
- Tennis (65°): 65 × 1,200 = ₹78,000  
- Rugby (25°): 25 × 1,200 = ₹30,000  
- Hockey (30°): 30 × 1,200 = ₹36,000

Step 4: Calculate total amounts for the two groups
- Badminton + Tennis + Rugby = 54,000 + 78,000 + 30,000 = ₹162,000
- Cricket + Swimming + Hockey = 120,000 + 72,000 + 36,000 = ₹228,000

Step 5: Find the percentage difference
- Difference = 162,000 - 228,000 = -66,000 (negative means less)
- Percentage difference = (|Difference| / Cricket+Swimming+Hockey) × 100
= (66,000 / 228,000) × 100 ≈ 28.95%

Step 6: Check the options
- The difference is less by 28.95%, which corresponds to option 4.

Rechecking calculations:
- The problem asks: "money spent on Badminton, Tennis and Rugby taken together is what percentage more/less than the money spent on Cricket, Swimming and Hockey taken together?"
- Since 162,000 < 228,000, it is less by 28.95%.

Therefore, the correct answer is option 4: Less, 28.95%.

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