Which of the following successive discounts is better to a customer ?
(a) 20%, 15%, 10%
(b) 25%, 12%, 8%

Options

A. (a) is better
B. (b) is better
C. (a) or (b) both are same
D. None of these

Answer

To determine which of the two sets of successive discounts is better for the customer, we will calculate the final price after applying each set of discounts to an initial price of 100 rupees.

### Step-by-Step Solution:

**Step 1: Calculate the final price for the first set of discounts (20%, 15%, 10%).**

1. **Initial Price**: 100 rupees
2. **First Discount (20%)**:
- Discount Amount = 20% of 100 = 0.20 * 100 = 20 rupees
- Price after first discount = 100 - 20 = 80 rupees

3. **Second Discount (15%)**:
- Discount Amount = 15% of 80 = 0.15 * 80 = 12 rupees
- Price after second discount = 80 - 12 = 68 rupees

4. **Third Discount (10%)**:
- Discount Amount = 10% of 68 = 0.10 * 68 = 6.8 rupees
- Price after third discount = 68 - 6.8 = 61.2 rupees

**Final Price after first set of discounts**: 61.2 rupees

**Step 2: Calculate the final price for the second set of discounts (25%, 12%, 8%).**

1. **Initial Price**: 100 rupees
2. **First Discount (25%)**:
- Discount Amount = 25% of 100 = 0.25 * 100 = 25 rupees
- Price after first discount = 100 - 25 = 75 rupees

3. **Second Discount (12%)**:
- Discount Amount = 12% of 75 = 0.12 * 75 = 9 rupees
- Price after second discount = 75 - 9 = 66 rupees

4. **Third Discount (8%)**:
- Discount Amount = 8% of 66 = 0.08 * 66 = 5.28 rupees
- Price after third discount = 66 - 5.28 = 60.72 rupees

**Final Price after second set of discounts**: 60.72 rupees

**Step 3: Compare the final prices.**

- Final Price after first set of discounts: 61.2 rupees
- Final Price after second set of discounts: 60.72 rupees

### Conclusion:
The second set of discounts (25%, 12%, 8%) is better for the customer as it results in a lower final price of 60.72 rupees compared to 61.2 rupees from the first set of discounts (20%, 15%, 10%).

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