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. 250
C. Rs. 320
D. Rs. 280
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
The marked price of an article is Rs. 1200. If the discount given is 15%, what is the selling price?
A. Rs. 1000
B. Rs. 1050
C. Rs. 1080
D. Rs. 1020

Correct Answer: Option D


Explanation:
SP = 1200*0.85 = 1020.

This question belongs to: Maths Profit And Loss
Question #2
If the cost price of an article is Rs. 300 and it is sold at a profit of 20%, what is the selling price?
A. Rs. 370
B. Rs. 340
C. Rs. 350
D. Rs. 360

Correct Answer: Option D


Explanation:
SP = 300 * 1.20 = 360.

This question belongs to: Maths Profit And Loss
Question #3
The marked price of an article is Rs. 1500. A shopkeeper gives a discount of 20% and still makes a profit of 25%. What is the cost price?
A. Rs. 900
B. Rs. 960
C. Rs. 1000
D. Rs. 1050

Correct Answer: Option B


Explanation:
SP = 80% of 1500 = 1200. SP = 125% of CP. 1.25 * CP = 1200. CP = 1200 / 1.25 = Rs. 960.

This question belongs to: Maths Profit And Loss