Question

Stefan sells Jin a bicycle for ​$176 and a helmet for ​$16. The total cost for Jin is ​160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answer 1

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Explanation:

Given that:

Selling price of bicycle = $176

Selling price of helmet = $16

Total price = 176+16 = $192

This is 160% of what Stefan paid originally.

Let,

x be the original amount paid by Stefan.

160% of x = 192

`(160)/(100)x=192\\1.6x=192`

Dividing both sides by 1.6

`(1.6x)/(1.6)=(192)/(1.6)\\x=120`

Original amount paid by Stefan = $120

Profit = 192 - 120 = $72

Hence

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.