Math Problem Statement
electronic store owner allows two successive discounts of 20% and 25% on each item. The store has a reward points scheme which enables a customer to get free shopping worth ₹0.10 on every 1 reward point credited to the customer’s account on previous purchases from the store. A customer decides to buy a laptop that is marked at ₹72,000. What will be its net selling price if he has 2850 reward points to his credit?
Solution
We are given a laptop priced at ₹72,000, and two successive discounts of 20% and 25% are offered. Additionally, the customer has 2,850 reward points, where each point is worth ₹0.10.
Step-by-Step Solution:
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Calculate the first discount of 20%: The first discount is 20% on ₹72,000. The price after the first discount is:
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Calculate the second discount of 25%: Now, apply a 25% discount on ₹57,600. The price after the second discount is:
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Calculate the value of reward points: The customer has 2,850 reward points, and each point is worth ₹0.10. Therefore, the total value of the reward points is:
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Calculate the net selling price: The reward points will be deducted from the price after discounts. So, the net selling price is:
Thus, the net selling price of the laptop is ₹42,915.
Do you want any further details or have any questions?
Here are 5 related questions:
- How would the net price change if the discounts were applied in reverse order?
- What if the reward points system offered ₹0.05 per point instead of ₹0.10?
- If the store offered a flat 40% discount instead of two successive ones, how would that affect the final price?
- How can a customer maximize savings by strategically using reward points?
- What would happen if reward points could cover the entire price of an item?
Tip: Always apply successive percentage discounts one after the other, not by adding percentages together.
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Math Problem Analysis
Mathematical Concepts
Percentage discounts
Reward points
Successive discounts
Formulas
First Discount = Price × (Percentage / 100)
Second Discount = Price after First Discount × (Percentage / 100)
Net Selling Price = Price after Discounts - Value of Reward Points
Theorems
Successive Percentage Discount Theorem
Suitable Grade Level
Grades 8-10
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