A sells an item to B at a 20% profit. B sells it to C at a 15% loss. C sells it to D at a 25% profit. If the difference between the cost prices of A and D is Rs. 137.50, what was A's cost price? MCQ with Answer and Explanation

A sells an item to B at a 20% profit. B sells it to C at a 15% loss. C sells it to D at a 25% profit. If the difference between the cost prices of A and D is Rs. 137.50, what was A's cost price?
A. Rs. 600
B. Rs. 500
C. Rs. 400
D. Rs. 450
Answer: Option B
Solution (By JKSSB Mock Tests)
Let A's Cost Price = 100x. B's Cost Price = 120x. C's Cost Price = 120x * 0.85 = 102x. D's Cost Price = 102x * 1.25 = 127.5x. Difference = 127.5x - 100x = 27.5x. 27.5x = 137.50. x = 5. A's Cost Price = 100 * 5 = 500.

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Practice More Profit And Loss Questions

Question #1
If the selling price of an article is Rs. 270 and the profit is 35%, find the cost price.
A. Rs. 220
B. Rs. 210
C. Rs. 200
D. Rs. 190

Correct Answer: Option C


Explanation:
CP = 270 / 1.35 = 200.

This question belongs to: Maths Profit And Loss
Question #2
A person buys a watch for Rs. 800 and sells it for Rs. 640. What is the loss percentage?
A. 15%
B. 25%
C. 30%
D. 20%

Correct Answer: Option D


Explanation:
Loss = 160, loss% = 160/800*100=20%.

This question belongs to: Maths Profit And Loss
Question #3
A shopkeeper sells a book for Rs. 360, gaining 20%. Find the cost price.
A. Rs. 340
B. Rs. 300
C. Rs. 320
D. Rs. 280

Correct Answer: Option B


Explanation:
CP = 360/1.2 = 300.

This question belongs to: Maths Profit And Loss