Question

A purchased a bike and spent $75 on its repair. He sold it to B and made a 35% profit. B sold it to
C at a 20% loss for $324. How much did A buy it for?​

Answer 1

Answer:

$225

Explanation:

A bought the bike for $225 + $75 for repair = $300

and sold it with 35% profit for $300+$105=405

(35% of 300 = 105)

B sold it with 20% loss for $324. Then $324 must be 80% of the price B bought it with.

Answer 2

Answer:

A bought the bike for 207$(approx.)

Explanation:

Let the amount spent by A to purchase bike be 'x'$

Given that,the amount spent for repair is 75$ therefore amount spent by A =(x+75)$

He makes 35% profit by selling to B,hence he must sell it at a price of

(1+0.35)(x+75)$=1.35(x+75)$

B sell it to C at 20% loss and the amount is 324$

Therefore B must sell it at a price of

(1.35-0.20)(x+75)$=1.15(x+75)$

Therefore,

1.15(x+75)=324==>x=206.73$≈207$

Hence,A bought the bike for 207$(approx.)

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