Quiz: Challenging Profit and Loss Practice Questions (set 2)

Unlike the questions in Set 1, this quiz features slightly more challenging practice problems designed to test and enhance your understanding of profit and loss concepts. The questions range from moderate to difficult in difficulty. Try to solve them without any external help. If you don’t get all the answers correct on your first attempt, don’t worry—you can retake the quiz to aim for a perfect score. If you notice any errors in the questions or answers, please leave a comment so we can address them. Enjoy the quiz and have fun!

1. 
A shopkeeper marks an item 60% above the cost price and offers two successive discounts of 15% and 10%. If the selling price is ₹1224, find the cost price.

2. 
A trader sells an article at a loss of 10%. If he had sold it for \$200 more, he would have gained 20%. Find the cost price of the article.

3. 
A shopkeeper sells an item at a profit of 25%. If the cost price increases by 20% and the selling price increases by 10%, find the new profit percentage.

4. 
A trader buys 120 toys for \$2400. He sells 40 toys at a 25% profit, 50 toys at a 10% loss, and the remaining toys at a 15% profit. Find the overall profit or loss percentage.

5. 
A shopkeeper marks an item 80% above the cost price and offers three successive discounts of 10%, 15%, and 5%. If the selling price is ₹1850, find the cost price.

6. 
A trader buys 300 kg of sugar at ₹40 per kg. If he mixes this sugar with 100 kg of another variety bought at ₹35 per kg and sells the mixture at ₹55 per kg, find the overall profit percentage.

7. 
A trader sells an article at a loss of 25%. If he had sold it for \$4500 more, he would have gained 20%. Find the cost price of the article.

8. 
A trader buys 200 kg of rice at ₹25 per kg. If he mixes this rice with 100 kg of another variety bought at ₹20 per kg and sells the mixture at ₹35 per kg, find the overall profit percentage.

9. 
A retailer marks an item 80% above the cost price but allows two successive discounts of 18% and 10%. If the selling price is \$1650, find the cost price.

10. 
A shopkeeper sells an item at a profit of 50%. If the cost price decreases by 20% and the selling price decreases by 15%, find the new profit percentage.

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