P sells an item to Q at 25% profit. Q sells the same item to R at 60% loss. If R paid ₹5,166 for the item, then at what price (in ₹) is the item purchased by P?
10,332
Let P's purchase price be \(x\).
P sells to Q at 25% profit, so Q's cost price \(= 1.25x\).
Q sells to R at 60% loss, so R's price \(= 1.25x \times 0.40 = 0.5x\).
Given \(0.5x = 5166 \Rightarrow x = \frac{5166}{0.5} = 10332\).
Hence, the item was purchased by P at ₹10,332.
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