A sells a watch to B at a profit of 20% and B sells it to C at a loss

1.	A sells a watch to B at a profit of 20% and B sells it to C at a loss of 10%. If C pays Rs. 432, how much did A pay for it?1. Rs. 5002. Rs. 4003. Rs. 2004. Rs. 300
Answer» Correct Answer - Option 2 : Rs. 400 Given- A sells a watch to B at a profit of 20% B sells it to C at a loss of 10% Formula Used- Profit% = (CP - SP)/CP × 100 [where CP = Cost Price and SP = Selling Price] Loss% = (SP - CP)/CP × 100 [where CP = Cost Price and SP = Selling Price] Calculation- Let the price at which A buys the watch is 100x. A sells the watch to B at 100x(1 + 20%) ⇒ 120x B sells the watch to C at 120x(1 - 10%) ⇒ 108x According to Question - 108x = 432 ⇒ x = 4 ⇒ 100x = 400 ∴ A paid Rs. 400 for the watch.

A sells a watch to B at a profit of 20% and B sells it to C at a loss of 10%. If C pays Rs. 432, how much did A pay for it?1. Rs. 5002. Rs. 4003. Rs. 2004. Rs. 300

Answer» Correct Answer - Option 2 : Rs. 400

Given-

A sells a watch to B at a profit of 20%

B sells it to C at a loss of 10%

Formula Used-

Profit% = (CP - SP)/CP × 100 [where CP = Cost Price and SP = Selling Price]

Loss% = (SP - CP)/CP × 100 [where CP = Cost Price and SP = Selling Price]

Calculation-

Let the price at which A buys the watch is 100x.

A sells the watch to B at 100x(1 + 20%)

⇒ 120x

B sells the watch to C at 120x(1 - 10%)

⇒ 108x

According to Question -

108x = 432

⇒ x = 4

⇒ 100x = 400

∴ A paid Rs. 400 for the watch.

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