If the selling price of an item becomes half, the loss becomes three times the initial loss. What was the initial loss percentage? MCQ with Answer and Explanation

If the selling price of an item becomes half, the loss becomes three times the initial loss. What was the initial loss percentage?
A. 25%
B. 30%
C. 15%
D. 20%
Answer: Option D
Solution (By JKSSB Mock Tests)
Let Cost Price = 100 and initial Selling Price = x. Initial loss = 100 - x. New Selling Price = x / 2. New loss = 100 - (x / 2). 100 - (x / 2) = 3 * (100 - x). 100 - 0.5x = 300 - 3x. 2.5x = 200. x = 80. Initial loss = 100 - 80 = 20. Loss percentage = 20%.

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Practice More Profit And Loss Questions

Question #1
After allowing a discount of 20% on the marked price, a trader makes a profit of 12%. If the goods were sold at the marked price without discount, what would be the profit percentage?
A. 35%
B. 45%
C. 30%
D. 40%

Correct Answer: Option D


Explanation:
Let Cost Price = 100. Selling Price = 112. Marked Price * 0.80 = 112. Marked Price = 140. Profit at Marked Price = 140 - 100 = 40. Profit percentage = 40%.

This question belongs to: Maths Profit And Loss
Question #2
A person bought a chair for Rs. 800 and sold it for Rs. 640. What is the loss percentage?
A. 15%
B. 20%
C. 30%
D. 25%

Correct Answer: Option B


Explanation:
Loss = 160, loss% = 160/800*100 = 20%.

This question belongs to: Maths Profit And Loss
Question #3
The marked prices of a shirt and a pair of trousers are in the ratio 1:2. The shopkeeper gives a 40% discount on the shirt. If the total discount on both is 30%, what is the discount percentage on the trousers?
A. 25%
B. 20%
C. 30%
D. 35%

Correct Answer: Option A


Explanation:
Let Marked Price of shirt = x and trousers = 2x. Total Marked Price = 3x. Total discount = 30% of 3x = 0.9x. Discount on shirt = 40% of x = 0.4x. Discount on trousers = 0.9x - 0.4x = 0.5x. Percentage discount on trousers = (0.5x / 2x) * 100 = 25%.

This question belongs to: Maths Profit And Loss