Keywords: Discounts, percentage, price comparison, cost calculation.
Required Approach: Factual and analytical. The question requires calculating the final price after multiple discounts and comparing the two options to determine which offers better value.
Points to Remember:
- Multiple discounts are not additive; they are applied sequentially.
- The order of discounts can affect the final price, although in this case, the order doesn’t matter because the discounts are all applied to the original price.
- The goal is to determine which discount scheme results in a lower final price for the coat.
Introduction:
Many shops offer multiple discounts to attract customers. However, understanding how these discounts are applied is crucial to making informed purchasing decisions. This analysis compares two discount schemes offered by a shopkeeper for a coat, determining which offers the better value for the customer. We will calculate the final price for each scheme to make a clear comparison.
Body:
Scheme 1: â¹5,500 with discounts of 15%, 10%, and 5%
-
First Discount (15%): Discount amount = 15% of â¹5,500 = â¹825
Price after first discount = â¹5,500 – â¹825 = â¹4,675 -
Second Discount (10%): Discount amount = 10% of â¹4,675 = â¹467.50
Price after second discount = â¹4,675 – â¹467.50 = â¹4,207.50 -
Third Discount (5%): Discount amount = 5% of â¹4,207.50 = â¹210.38
Final Price = â¹4,207.50 – â¹210.38 = â¹3,997.12
Scheme 2: â¹6,000 with discounts of 18%, 15%, and 6%
-
First Discount (18%): Discount amount = 18% of â¹6,000 = â¹1,080
Price after first discount = â¹6,000 – â¹1,080 = â¹4,920 -
Second Discount (15%): Discount amount = 15% of â¹4,920 = â¹738
Price after second discount = â¹4,920 – â¹738 = â¹4,182 -
Third Discount (6%): Discount amount = 6% of â¹4,182 = â¹250.92
Final Price = â¹4,182 – â¹250.92 = â¹3,931.08
Comparison:
| Scheme | Initial Price | Final Price |
|—|—|—|
| Scheme 1 | â¹5,500 | â¹3,997.12 |
| Scheme 2 | â¹6,000 | â¹3,931.08 |
Scheme 2 results in a lower final price (â¹3,931.08) compared to Scheme 1 (â¹3,997.12).
Conclusion:
In conclusion, although Scheme 2 starts with a higher initial price (â¹6,000), the cumulative effect of its discount percentages results in a lower final price for the coat (â¹3,931.08) compared to Scheme 1 (â¹3,997.12). Therefore, Scheme 2 offers better value for the customer. This analysis highlights the importance of carefully calculating the final price after multiple discounts to make informed purchasing decisions. Consumers should always compare the final price after all discounts are applied rather than focusing solely on the advertised discounts. This promotes consumer awareness and responsible spending.