A sold a watch to B at 40% gain and B sold it to C at a loss of 20%. if C bought the watch for ₹ 432, at what price did A purchase it?

Q: A sold a watch to B at 40% gain and B sold it to C at a loss of 20%. if C bought the watch for ₹ 432, at what price did A purchase it?

Let A purchased the watch for ₹ N A x [(1+ r1) /100] x [(1+ r2) /100] = CP of article given by C ⇒ N x (140/100) x (80/100) = 432 ∴ N = (432 x 100)/(14 x 8) = ₹ 385.71

₹ 385.71
₹ 216
₹ 250
₹ 550

Correct Answer: ₹ 385.71

Explanation:

Let A purchased the watch for ₹ N
A x [(1+ r₁) /100] x [(1+ r₂) /100] = CP of article given by C
⇒ N x (140/100) x (80/100) = 432
∴ N = (432 x 100)/(14 x 8) = ₹ 385.71

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