Yosief buys 10 apples for $1. At what price should he sell a dozen apples if he wishes to make a profit of 25%?

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Answer 1 · 2016-05-11T01:24:44

Yosief should sell the apples at $1.60 per dozen.

Cost of 10 apples = $1 $\to$ $->$ Cost per apple $= $ 0.10$ $= $0.10$

Hence: Cost of a dozen apples $= $ 1.20$ $=$1.20$

$P r o f i t = \frac{P r i c e - cost}{P r i c e}$ $Profit = (Price - "Cost") / (Price)$

In this example:

$25 % = \frac{P r i c e - $ 1.20}{P r i c e}$ $25% = (Price - $1.20) / (Price)$

$0.25 \cdot P r i c e = P r i c e - $ 1.20$ $0.25 * Price = Price - $1.20$

$P r i c e \cdot (1 - 0.25) = $ 1.20$ $Price * (1-0.25) = $1.20$
$P r i c e = \frac{$ 1.20}{0.75}$ $Price = ($1.20) /0.75$

$P r i c e = $ 1.60$ $Price = $1.60$