Class 8 Profit and Loss Case Study Worksheet PDF

Class 8 Profit and Loss Case Study Worksheet PDF

The Class 8 Profit and Loss Case Study Worksheet PDF provides essential practice material for understanding important concepts. It includes practical word problems that help students apply profit and loss formulas effectively. Moreover, the worksheet builds confidence for school exams and competitive assessments.

Key Topics Covered in the Worksheet

This worksheet includes case-based problems on cost price, selling price, discounts, and profit percentage. Students learn step-by-step methods that improve accuracy. Additionally, the practice questions support logical reasoning and real-life application skills.

Why Students Should Use This Worksheet

The Class 8 Profit and Loss Case Study Worksheet PDF offers well-structured problems that follow the latest CBSE guidelines. Furthermore, the answer solutions help students review mistakes easily. With regular practice, they can score higher marks in mathematics exams.

Math Case Study Class 8 : Class 8 Profit and Loss Case Study Worksheet PDF

A popular clothing outlet launched a “Buy More, Save More” weekend. The manager created bundle deals and experimented with successive discounts and single flat discounts to study customer response and profit margins. Data from the weekend shows: (i) many customers used stacked discounts (a store discount followed by a coupon), (ii) some items were deliberately marked above cost to allow room for discounts while retaining profit, and (iii) bulk purchases attracted percentage-off on the total bill. The manager wants to evaluate actual selling prices, effective discounts, total savings, and resulting profit or loss percentages on various items and bundles sold during the weekend. Use the data below to answer the questions.

1. A jacket has a marked price of Rs. 2500. The store applies successive discounts of 10 percent and then 20 percent at checkout. What is the selling price of the jacket?

Solution:
First discount: 10 percent of 2500 = 250. Price after first discount = 2500 – 250 = 2250.
Second discount: 20 percent of 2250 = 450. Selling price = 2250 – 450 = 1800.
Alternatively compute directly: 2500 × 0.9 × 0.8 = 2500 × 0.72 = 1800.
Hence option (b) is correct.

2. A shirt has marked price Rs. 1600 and is sold at a discount of 25 percent. The shopkeeper still makes a profit of 20 percent on cost price. What is the cost price of the shirt?

Solution:
Selling price after discount = 1600 × (1 – 0.25) = 1600 × 0.75 = 1200.
Let cost price be C. Given selling price gives 20 percent profit: 1200 = C × 1.20.
Thus C = 1200 ÷ 1.20 = 1000.
Therefore option (c) Rs. 1000 is correct.

3. A boutique offers successive discounts of 30 percent followed by 10 percent on a dress. Which single flat discount is equivalent to these successive discounts (rounded to two decimal places as percent)?

Solution:
Let the initial price be 100 units. After 30 percent discount price becomes 100 × 0.70 = 70. After further 10 percent discount price becomes 70 × 0.90 = 63.
Effective price fraction = 63/100 = 0.63. Hence effective discount = 1 – 0.63 = 0.37 = 37%.
Thus equivalent single discount is 37.00 percent. Option (b) is correct.

4. A customer buys three identical shirts. Each shirt has marked price Rs. 1200. The shop applies 15 percent discount on the total bill and then allows an additional 5 percent coupon on the discounted bill. What is the total amount saved by the customer and the effective percentage saved on the total marked price?

Solution:
Total marked price = 3 × 1200 = 3600.
After 15 percent discount: 3600 × 0.85 = 3060.
After additional 5 percent coupon: 3060 × 0.95 = 3060 – 153 = 2907.
Total saved = 3600 – 2907 = 693.
Effective percentage saved = (693/3600) × 100 = 19.25%.
So option (a) is correct.

5. A television has cost price Rs. 20000. The shopkeeper marks it 30 percent above cost. During a festival sale, a flat discount of 20 percent is given on the marked price. What is the profit percent on the television after discount?

Solution:
Marked price = cost price + 30% of cost price = 20000 × 1.30 = 26000.
Selling price after 20 percent discount = 26000 × (1 – 0.20) = 26000 × 0.80 = 20800.
Profit = 20800 – 20000 = 800.
Profit percent = (800/20000) × 100 = 4%.
Hence option (a) is correct.

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