A tradesman marks his goods 25% above the cost price and allows a 10% discount for cash payment. If he earns a profit of Rs. 50, what is the cost price? MCQ with Answer and Explanation

A tradesman marks his goods 25% above the cost price and allows a 10% discount for cash payment. If he earns a profit of Rs. 50, what is the cost price?
A. Rs. 400
B. Rs. 350
C. Rs. 380
D. Rs. 450
Answer: Option A
Solution (By JKSSB Mock Tests)
Let Cost Price = 100x. Marked Price = 125x. Selling Price = 125x * 0.90 = 112.5x. Profit = 12.5x. 12.5x = 50. x = 4. Cost Price = 100 * 4 = 400.

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Practice More Profit And Loss Questions

Question #1
If the profit is one-fourth of the selling price, find the true profit percentage on the cost price.
A. 20%
B. 33.33%
C. 40%
D. 25%

Correct Answer: Option B


Explanation:
Let Selling Price = 100. Profit = 25. Cost Price = 100 - 25 = 75. Profit percentage = (25 / 75) * 100 = 33.33%.

This question belongs to: Maths Profit And Loss
Question #2
A man buys goods worth Rs. 6000. He sells one-third of them at a 10% profit. At what profit percentage must he sell the remaining goods to achieve an overall profit of 20%?
A. 25%
B. 30%
C. 20%
D. 35%

Correct Answer: Option A


Explanation:
Total Cost Price = 6000. Desired Selling Price for 20% profit = 6000 * 1.20 = 7200. Cost Price of one-third = 2000. Selling Price of this part = 2000 * 1.10 = 2200. Remaining Cost Price = 4000. Required Selling Price for remaining = 7200 - 2200 = 5000. Profit on remaining = 5000 - 4000 = 1000. Profit percentage = (1000 / 4000) * 100 = 25%.

This question belongs to: Maths Profit And Loss
Question #3
A trader sells an article at a 15% profit. If he buys it at 10% less and sells it for Rs. 4 less, he still makes a 25% profit. Find the original cost price.
A. Rs. 180
B. Rs. 200
C. Rs. 160
D. Rs. 150

Correct Answer: Option C


Explanation:
Let initial Cost Price = 100x. Initial Selling Price = 115x. New Cost Price = 90x. New Selling Price = 90x * 1.25 = 112.5x. Difference = 115x - 112.5x = 2.5x. 2.5x = 4. x = 1.6. Cost Price = 100 * 1.6 = 160.

This question belongs to: Maths Profit And Loss