Question

Sam sold his bike to Suzie for 35% more than he paid for it. Suzie then sold the bike to Stanley for 20% more than what she paid for it. What percent of the original price did Stanley pay for the bike?

Answer 1

Answer: 162% of original price was paid by Stanley for the bike.

Step-by-step explanation:

let the original price paid by Sam be x

Then Sam sold his bike to Suzie for 35% more than he paid for it.

Price paid by Suzie = x + 35% of x = x + 0.35 × x = 1.35 x

After which  Suzie then sold the bike to Stanley for 20% more than what she paid for it.

Price paid by Stanley = 1.35 x + 20% of 1.35x = 1.35 x + (0.20) × 1.35x = 1.62x

Percent of the original price paid by Stanley for bike

$=\frac{\text{price paid by Stanley}\times 100}{\text{original price}}=\frac{1.62x\times 100}{x}=162\%$

Hence,162% of original price was paid by Stanley for the bike.