Question
Download Solution PDFP sells an article to Q at a loss of 5% and Q sells that article to R at a loss of 20%. If R pays ₹ 2812 for the article, then what was the cost price for P?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P sells an article to Q at a loss of 5%
Q sells that article to R at a loss of 20%
R pays ₹ 2812 for the article
Concept:
P sells the article to Q. Therefore Q's Cost Price will be P's Selling Price and Q sells the article to R. Therefore R's Cost Price will be Q's Selling Price
Calculation:
R pays ₹ 2812 for the article
∴ R's Cost Price = 2812
Q's Selling Price = R's Cost Price = 2812
⇒ Q's Cost Price = 2812 × (100/80) = 3515 (∵ 20% Loss)
P's Selling Price = Q's Cost Price = 3515
⇒ P's Cost Price = 3515 × (100/95) = 3700 (∵ 5% Loss)
∴ The cost price for P = ₹3700
Last updated on Jul 8, 2025
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