. On an article with marked price Rs 20000, a customer has a choice between the successive discounts of 20%, 20% and 10% and three successive discounts of 40%, 5% and 5%. How much can he save by choosing the better offer ?

Answer

To solve the problem, we need to calculate the selling price for both offers and then determine how much the customer can save by choosing the better offer.

### Step 1: Calculate the Selling Price for the First Offer
The first offer consists of three successive discounts of 20%, 20%, and 10%.

1. **Marked Price (MP)** = Rs 20,000
2. **First Discount** = 20%
- Selling Price after first discount = MP × (100 - 20)/100
- Selling Price = 20,000 × (80/100) = 20,000 × 0.8 = Rs 16,000

3. **Second Discount** = 20%
- Selling Price after second discount = Previous Selling Price × (100 - 20)/100
- Selling Price = 16,000 × (80/100) = 16,000 × 0.8 = Rs 12,800

4. **Third Discount** = 10%
- Selling Price after third discount = Previous Selling Price × (100 - 10)/100
- Selling Price = 12,800 × (90/100) = 12,800 × 0.9 = Rs 11,520

### Step 2: Calculate the Selling Price for the Second Offer
The second offer consists of three successive discounts of 40%, 5%, and 5%.

1. **Marked Price (MP)** = Rs 20,000
2. **First Discount** = 40%
- Selling Price after first discount = MP × (100 - 40)/100
- Selling Price = 20,000 × (60/100) = 20,000 × 0.6 = Rs 12,000

3. **Second Discount** = 5%
- Selling Price after second discount = Previous Selling Price × (100 - 5)/100
- Selling Price = 12,000 × (95/100) = 12,000 × 0.95 = Rs 11,400

4. **Third Discount** = 5%
- Selling Price after third discount = Previous Selling Price × (100 - 5)/100
- Selling Price = 11,400 × (95/100) = 11,400 × 0.95 = Rs 10,830

### Step 3: Compare the Selling Prices
- Selling Price from the first offer = Rs 11,520
- Selling Price from the second offer = Rs 10,830

### Step 4: Calculate the Savings
To find out how much the customer can save by choosing the better offer:
- Savings = Selling Price from the first offer - Selling Price from the second offer
- Savings = 11,520 - 10,830 = Rs 690

### Conclusion
The customer can save Rs 690 by choosing the second offer.

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