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. 450
B. Rs. 400
C. Rs. 600
D. Rs. 500
Answer: Option D
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
A person sells an item at a loss of 10%. If the selling price is Rs. 135, what is the cost price?
A. Rs. 140
B. Rs. 150
C. Rs. 155
D. Rs. 145

Correct Answer: Option B


Explanation:
SP = 90% of CP => CP = 135/0.9 = 150.

This question belongs to: Maths Profit And Loss
Question #2
A dealer sells a book at a loss of 5%. If the selling price is Rs. 190, what is the cost price?
A. Rs. 195
B. Rs. 210
C. Rs. 200
D. Rs. 185

Correct Answer: Option C


Explanation:
SP = 95% of CP => CP = 190/0.95 = 200.

This question belongs to: Maths Profit And Loss
Question #3
If the selling price of an article is Rs. 330 and the profit is 10%, what is the cost price?
A. Rs. 310
B. Rs. 320
C. Rs. 290
D. Rs. 300

Correct Answer: Option D


Explanation:
CP = 330 / 1.1 = 300.

This question belongs to: Maths Profit And Loss