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Kim bought 12 boxes of drinks

He paid $15 for each box.

There were 12 drinks in each box.

Kim sold 3/4 of the drinks for $1.50 each.

He sold all of the other drinks at a reduced price.

He made an overall profit of 15%.

Work out how much Kim sold each reduced price drink for.

User MOHRE
by
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1 Answer

6 votes

Answer:

The amount Kim sold each reduced price drink is $1.25 each

Explanation:

The number of boxes of drinks Kim bought = 12 boxes

The amount Kim paid for each box = $15

The number of drinks in each box = 12 drinks

The amount Kim sild 3/4 of the drinks = $1.50 each

The amount Kim sold the remaining drinks = At a reduced rate

The amount of profit Kim made = 15%

Therefore, we have;

The total amount Kim bought the whole drinks = 12 × $15 = $180

The total number of drinks = 12 × 12 = 144 drinks

3/4 of the drinks = 3/4×144 = 108 drinks

The amount Kim sold the 108 drinks = 108 × $1.5 = $162

The amount of profit Kim made = 15%

Therefore;

(((The total amount Kim sold the whole drinks) - (The total amount Kim bought the whole drinks))/(The total amount Kim bought the whole drinks)) × 100 = Percentage profit

(((The total amount Kim sold the whole drinks) - ($180))/($180)) × 100 = 15%

The total amount Kim sold the whole drinks = 0.15×$180 + $180 = $207

The total number of the remainder of the drinks = 144 - 108 = 36 drinks

The amount Kim sold the remainder of the drinks = $207 - $162 = $45

The amount Kim sold each of the remainder of the drinks at reduced price = $45/36 = $1.25

Therefore, the amount Kim sold each reduced price drink = $1.25 each.

User Rae Burawes
by
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