A man sells an article at 5% above its cost price. If he had bought it at 5% less and sold it for Rs. 2 less, he would have gained 10%. Find the original cost price. MCQ with Answer and Explanation

A man sells an article at 5% above its cost price. If he had bought it at 5% less and sold it for Rs. 2 less, he would have gained 10%. Find the original cost price.
A. Rs. 300
B. Rs. 200
C. Rs. 500
D. Rs. 400
Answer: Option D
Solution (By JKSSB Mock Tests)
Let original CP = x. Original SP = 1.05x. New CP = 0.95x. New SP = 1.05x - 2. New profit is 10% on new CP, so New SP = 1.10 * 0.95x = 1.045x. Equating the two new SPs: 1.045x = 1.05x - 2. Therefore, 0.005x = 2, which gives x = 2 / 0.005 = 400.

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Practice More Profit And Loss Questions

Question #1
If the selling price of an article is Rs. 288 and the loss is 10%, find the cost price.
A. Rs. 340
B. Rs. 310
C. Rs. 300
D. Rs. 320

Correct Answer: Option D


Explanation:
SP = 90% of CP => CP = 288 / 0.9 = 320.

This question belongs to: Maths Profit And Loss
Question #2
By selling 90 ball pens for Rs. 160, a person loses 20%. How many ball pens should be sold for Rs. 96 so as to have a profit of 20%?
A. 40
B. 32
C. 36
D. 24

Correct Answer: Option C


Explanation:
SP of 90 pens = 160. SP of 1 pen = 160/90 = 16/9. Loss = 20%, so CP of 1 pen = (16/9) / 0.8 = 20/9. Desired SP for 20% profit = 1.2 * (20/9) = 24/9 = 8/3. Number of pens for Rs. 96 = 96 / (8/3) = 96 * 3 / 8 = 36.

This question belongs to: Maths Profit And Loss
Question #3
If the cost price of 12 articles is equal to the selling price of 10 articles, find the gain percent.
A. 18%
B. 20%
C. 15%
D. 25%

Correct Answer: Option B


Explanation:
Let CP of 1 = 1, CP of 12 = 12, SP of 10 = 12 => SP of 1 = 12/10 = 1.2, gain = 20%.

This question belongs to: Maths Profit And Loss