An article is sold at a 15% profit. If its cost price decreases by 10% and selling price decreases by Rs. 21, the profit becomes 20%. Find the initial cost price. MCQ with Answer and Explanation

An article is sold at a 15% profit. If its cost price decreases by 10% and selling price decreases by Rs. 21, the profit becomes 20%. Find the initial cost price.
A. Rs. 300
B. Rs. 280
C. Rs. 320
D. Rs. 250
Answer: Option A
Solution (By JKSSB Mock Tests)
Let initial Cost Price = 100x. Initial Selling Price = 115x. New Cost Price = 90x. New Selling Price = 90x * 1.20 = 108x. Difference = 115x - 108x = 7x. 7x = 21. x = 3. Initial Cost Price = 100 * 3 = 300.

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Practice More Profit And Loss Questions

Question #1
If the selling price of an article is Rs. 312 and the profit is 20%, find the cost price.
A. Rs. 260
B. Rs. 270
C. Rs. 280
D. Rs. 250

Correct Answer: Option A


Explanation:
CP = 312 / 1.20 = 260.

This question belongs to: Maths Profit And Loss
Question #2
A man sells an article at a profit of 12%. If the cost price is Rs. 250, what is the selling price?
A. Rs. 285
B. Rs. 290
C. Rs. 275
D. Rs. 280

Correct Answer: Option D


Explanation:
SP = 250*1.12 = 280.

This question belongs to: Maths Profit And Loss
Question #3
A merchant buys a calculator for Rs. 800 and sells it for Rs. 1000. What is his profit percentage?
A. 30%
B. 22.5%
C. 20%
D. 25%

Correct Answer: Option D


Explanation:
Profit = Selling Price - Cost Price = 1000 - 800 = 200. Profit percentage = (200 / 800) * 100 = 25%.

This question belongs to: Maths Profit And Loss