A man sells a watch at a profit of 20%. If he had bought it at 10% less and sold it for Rs. 30 less, he would have gained 20%. Find the initial cost price. MCQ with Answer and Explanation

A man sells a watch at a profit of 20%. If he had bought it at 10% less and sold it for Rs. 30 less, he would have gained 20%. Find the initial cost price.
A. Rs. 300
B. Rs. 200
C. Rs. 250
D. Rs. 150
Answer: Option C
Solution (By JKSSB Mock Tests)
Let original CP = 100x. Original SP = 120x. New CP = 90x. New SP = 120x - 30. Profit is 20% on 90x = 18x. So, 90x + 18x = 120x - 30. 108x = 120x - 30. 12x = 30. x = 2.5. Original CP = 100 * 2.5 = Rs. 250.

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Practice More Profit And Loss Questions

Question #1
A shopkeeper sells a book for Rs. 360, gaining 20%. Find the cost price.
A. Rs. 280
B. Rs. 340
C. Rs. 320
D. Rs. 300

Correct Answer: Option D


Explanation:
CP = 360/1.2 = 300.

This question belongs to: Maths Profit And Loss
Question #2
By selling a watch for Rs. 900, a shopkeeper loses 10%. What is the cost price?
A. Rs. 950
B. Rs. 1000
C. Rs. 980
D. Rs. 1050

Correct Answer: Option B


Explanation:
Selling Price = 900. Loss = 10%. Cost Price = 900 / 0.90 = 1000.

This question belongs to: Maths Profit And Loss
Question #3
A shopkeeper buys a product for Rs. 400 and sells it for Rs. 480. What is the profit percentage?
A. 15%
B. 20%
C. 18%
D. 25%

Correct Answer: Option B


Explanation:
Profit = 480 - 400 = 80. Profit% = (80/400)*100 = 20%.

This question belongs to: Maths Profit And Loss