Class 8 Percentage Case Study Questions with Answers

Class 8 Percentage Case Study Questions with Answers

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Case Study 1: Percentage, Profit, Loss, and Discount

In a busy shopping complex, a new electronics store introduced a festive week sale offering multiple discount schemes to attract customers. The store manager designed various combinations of successive discounts to ensure customers feel they are getting great deals while still keeping profits stable. For example, a smartphone originally priced at Rs. 15000 was offered at a discount of 10 percent on the first day and then an additional 5 percent discount at checkout. On some premium gadgets, instead of successive discounts, a flat discount was announced to test which strategy generated more profit. The store also tracked items bought in bulk by customers, where percentage increase or decrease in final bill amount played an important role. The manager carefully compared the effect of single discount versus successive discount to understand which method attracted more customers while keeping losses minimal. Using real-time data, the store evaluated the effective discount, total selling price, and overall profit or loss on each product sold to adjust future pricing strategies.

1. A laptop with marked price Rs. 40000 is offered at successive discounts of 10 percent and 5 percent. What is its selling price?

Solution:
First discount: 10 percent of 40000 = 4000
Price after first discount = 36000
Second discount: 5 percent of 36000 = 1800
Selling price = 36000 – 1800 = 34200
Hence, the correct answer is option (b).

2. A gadget costs Rs. 6000 after a flat discount of 20 percent. What was its marked price?

Solution:
Selling price = 6000
Let marked price = x
20 percent discount means: 80 percent of x = 6000
0.8x = 6000
x = 6000 / 0.8 = 7500
Correct answer is option (c).

3. A smartwatch with cost price Rs. 3000 is sold at Rs. 2700. What is the percentage loss?

Solution:
Loss = 3000 – 2700 = 300
Loss percent = (300 / 3000) * 100 = 10 percent
Correct answer is option (c).

4. A speaker is sold at a discount of 15 percent on its marked price Rs. 8000. The shopkeeper still makes a profit of 10 percent. What is the cost price?

Solution:
Selling price after discount = 8000 – 15% of 8000 = 6800
Since this is 10% profit: Cost price = 6800 / 1.10 ≈ 6181.81
Closest reasonable correct choice based on integer values is option (a) Rs. 6800, but mathematically CP should be approx 6182.

5. A mobile priced at Rs. 12000 undergoes two successive increases of 10 percent and 20 percent. What is its final price?

Solution:
After 10% increase: Price = 12000 + 1200 = 13200
After 20% increase: 20% of 13200 = 2640
Final price = 13200 + 2640 = 15840
Correct answer is option (b).

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