Profit & Loss Questions Class 8 – Sainik School Preparation

Practice advanced Profit & Loss questions for Class 8. Ideal for Sainik School Entrance Exam. Curated by Sainik Institute Lucknow with detailed solutions.

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Profit & Loss Questions Class 8 – Sainik School Preparation : By Sainik Institute Lucknow
📘 Section A: Conceptual Applications
Q1. A trader marks his goods 60% above the cost price and offers a discount of 25%.
If the selling price becomes ₹900, find:
a) The cost price
b) The profit percentage

Q2. Two items are sold for ₹1,200 each. One at 20% gain and one at 20% loss.
Find:
a) Overall gain or loss
b) Use formula: Net loss % = (Common %)² / 100

Q3. A dishonest dealer uses 950g weight instead of 1kg but sells at cost price.
Find the actual gain %.

Q4. A merchant buys two items at ₹5,000 each. One sold at 10% gain, the other at 10% loss.
Find total profit/loss and percentage.

📗 Section B: Mixture, Discount & Marked Price
Q5. Apples at ₹60/kg and ₹80/kg are mixed in a 3:2 ratio.
Find the selling price per kg for a 25% gain.

Q6. An article is sold at 10% discount and the seller still gains 20%.
If SP = ₹1,080, find:

Marked Price

Cost Price

Q7. A shopkeeper buys 100 shirts at ₹200 each.
He sells 80 shirts at ₹250 and the rest at a 10% loss.
Find the overall profit or loss percentage.

Q8. A trader gives a 25% discount and still gains 20%.
Find how much above the cost price he marked the goods.

Q9. An item is sold at ₹1,008 with a 16% loss.
At what price should it be sold to gain 20%?

📙 Section C: Equal Selling Price Cases
Q10. Two items are sold at ₹4,000 each. One at x% gain and the other at x% loss.
Show that net loss = x² / 100.

Q11. Two laptops are bought at ₹40,000 each.
One is sold at a 10% gain and the other at a 10% loss.
Find the overall result.

Q12. A man sells a product with a 25% profit.
If sold for ₹240 more, the profit would have been 40%.
Find the cost price.

📕 Section D: Successive Discounts & Pricing Strategy
Q13. An article is marked 50% above cost price.
Successive discounts of 10% and 20% are given.
Find the net profit or loss percentage.

Q14. A trader wants to earn a 30% profit even after offering a 10% discount.
How much above the cost price should he mark the goods?

Q15. Three items are sold at ₹1,000 each.
Gains: 20%, 0%, and a loss of 10%.
Find the overall gain or loss percentage.

📘 Practice regularly for Olympiads & CBSE exams.
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