A merchant marks his goods up by 50% and then offers a discount on the marked price. If his final profit is 20%, what is the discount percentage given? MCQ with Answer and Explanation

A merchant marks his goods up by 50% and then offers a discount on the marked price. If his final profit is 20%, what is the discount percentage given?
A. 30%
B. 25%
C. 20%
D. 15%
Answer: Option C
Solution (By JKSSB Mock Tests)
Let CP = 100. Marked Price (MP) = 150. For a final profit of 20%, the Selling Price (SP) = 120. Discount Amount = MP - SP = 150 - 120 = 30. Discount Percentage = (30 / 150) * 100 = 20%.

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Practice More Profit And Loss Questions

Question #1
By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percentage during the sale season is:
A. 7.5%
B. 8%
C. 9%
D. 7%

Correct Answer: Option B


Explanation:
Marked Price = 300. Original SP = 300. Profit = 20%, so CP = 300 / 1.2 = 250. Discount during sale = 10% on MP. New SP = 300 - 30 = 270. Profit = 270 - 250 = 20. Profit % = (20 / 250) * 100 = 8%.

This question belongs to: Maths Profit And Loss
Question #2
A merchant marks his goods up by 50% and offers a discount of 20%. In addition, he gives 1 article free with every 4 articles bought. What is his net profit percentage?
A. 5% profit
B. No profit no loss
C. 4% profit
D. 4% loss

Correct Answer: Option D


Explanation:
Let Cost Price of 1 article = 100. Cost Price of 5 articles = 500. Marked Price of 1 article = 150. Customer takes 5 articles but pays for 4. Selling Price of 4 articles = 4 * 150 * 0.80 = 480. Net Selling Price = 480. Net Cost Price = 500. Loss = 20. Loss percentage = (20 / 500) * 100 = 4%.

This question belongs to: Maths Profit And Loss
Question #3
A person sells an item at a loss of 10%. If the selling price is Rs. 135, what is the cost price?
A. Rs. 145
B. Rs. 150
C. Rs. 155
D. Rs. 140

Correct Answer: Option B


Explanation:
SP = 90% of CP => CP = 135/0.9 = 150.

This question belongs to: Maths Profit And Loss