A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs. 55 more, he would have had a profit of 40%. The cost price of the article is: MCQ with Answer and Explanation

A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs. 55 more, he would have had a profit of 40%. The cost price of the article is:
A. Rs. 250
B. Rs. 225
C. Rs. 275
D. Rs. 200
Answer: Option A
Solution (By JKSSB Mock Tests)
Let original CP = 100x. SP = 90x. New CP = 80x. New SP = 90x + 55. Profit is 40% of 80x = 32x. New SP = 80x + 32x = 112x. 112x - 90x = 55. 22x = 55. x = 2.5. CP = 100 * 2.5 = Rs. 250.

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Practice More Profit And Loss Questions

Question #1
If the cost price of 10 articles is equal to the selling price of 8 articles, find the gain percent.
A. 25%
B. 20%
C. 30%
D. 15%

Correct Answer: Option A


Explanation:
Let CP of 1 = 1, CP of 10 = 10, SP of 8 = 10 => SP of 1 = 10/8 = 1.25, gain = 25%.

This question belongs to: Maths Profit And Loss
Question #2
The selling price of an article is 4/3 of its cost price. What is the profit percentage?
A. 50%
B. 33.33%
C. 25%
D. 66.67%

Correct Answer: Option B


Explanation:
SP = (4/3) * CP. Ratio of SP to CP is 4:3. Profit = SP - CP = 4 - 3 = 1 part. Profit percentage = (1 / 3) * 100 = 33.33%.

This question belongs to: Maths Profit And Loss
Question #3
A dishonest dealer professes to sell his goods at cost price, but uses a 750 gram weight for 1 kg. Find his gain percentage.
A. 33.33%
B. 25%
C. 20%
D. 30%

Correct Answer: Option A


Explanation:
Goods given = 750g. Goods charged for = 1000g. Gain = 250g. Gain percentage = (250 / 750) * 100 = 33.33%.

This question belongs to: Maths Profit And Loss