Question

Luis purchased a laptop computer that was marked down by


`(2)/(5)`
of the original price. What fractional part of the original price did Luis pay?​

Answer 1

Luis paid 3/5 of the original price

Explanation:

Luis purchased a laptop with a fractional discount of 2/5 of the original price.

When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:

Paid price + Discount price = Original price

Or, equivalently:

paid fraction + discount fraction = 1

From the above relation, it follows that:

paid fraction = 1 - discount fraction

`\displaystyle \text{paid fraction }=1-(2)/(5)`

`\displaystyle \text{paid fraction }=(5-2)/(5)`

`\displaystyle \text{paid fraction }=(3)/(5)`

Luis paid 3/5 of the original price