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:

  1. Calculate the first discount of 20%: The first discount is 20% on ₹72,000. First Discount=72,000×20100=14,400\text{First Discount} = 72,000 \times \frac{20}{100} = ₹14,400 The price after the first discount is: Price after 1st Discount=72,00014,400=57,600\text{Price after 1st Discount} = 72,000 - 14,400 = ₹57,600

  2. Calculate the second discount of 25%: Now, apply a 25% discount on ₹57,600. Second Discount=57,600×25100=14,400\text{Second Discount} = 57,600 \times \frac{25}{100} = ₹14,400 The price after the second discount is: Price after 2nd Discount=57,60014,400=43,200\text{Price after 2nd Discount} = 57,600 - 14,400 = ₹43,200

  3. 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: Reward Points Value=2850×0.10=285\text{Reward Points Value} = 2850 \times 0.10 = ₹285

  4. Calculate the net selling price: The reward points will be deducted from the price after discounts. So, the net selling price is: Net Selling Price=43,200285=42,915\text{Net Selling Price} = 43,200 - 285 = ₹42,915

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:

  1. How would the net price change if the discounts were applied in reverse order?
  2. What if the reward points system offered ₹0.05 per point instead of ₹0.10?
  3. If the store offered a flat 40% discount instead of two successive ones, how would that affect the final price?
  4. How can a customer maximize savings by strategically using reward points?
  5. 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