A shopkeeper buys two articles for Rs. 1500 in total. He sells the first at a 20% profit and the second at a 10% loss. If his overall profit is Rs. 90, find the cost price of the first article. MCQ with Answer and Explanation

A shopkeeper buys two articles for Rs. 1500 in total. He sells the first at a 20% profit and the second at a 10% loss. If his overall profit is Rs. 90, find the cost price of the first article.
A. Rs. 800
B. Rs. 1000
C. Rs. 900
D. Rs. 700
Answer: Option A
Solution (By JKSSB Mock Tests)
Let CP of first = x. CP of second = 1500 - x. Profit = 0.20x - 0.10(1500 - x) = 90. 0.30x - 150 = 90. 0.30x = 240. x = 800.

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Practice More Profit And Loss Questions

Question #1
A merchant mixes 40 kg of rice at Rs. 20/kg with 60 kg of rice at Rs. 30/kg. He sells the mixture at Rs. 31.20/kg. What is his profit percentage?
A. 15%
B. 22%
C. 20%
D. 18%

Correct Answer: Option C


Explanation:
Total Cost = (40 * 20) + (60 * 30) = 800 + 1800 = 2600. Total Selling Price = 100 * 31.20 = 3120. Profit = 3120 - 2600 = 520. Profit percentage = (520 / 2600) * 100 = 20%.

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. 32
B. 24
C. 40
D. 36

Correct Answer: Option D


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
A shopkeeper sells a book for Rs. 300, gaining 20%. Find the cost price.
A. Rs. 260
B. Rs. 270
C. Rs. 240
D. Rs. 250

Correct Answer: Option D


Explanation:
CP = 300/1.2 = 250.

This question belongs to: Maths Profit And Loss