Answer :

ayune

With 30% profit, the selling price of a microwave is $273. If the profit is decreased to 10%, its selling price will be $231

The relation among profit, selling price, and cost price is given by:

Profit  = selling price - cost price

Percentage of profit on the cost = profit / cost price x 100%

Data from the problem:

Percentage of profit on the cost = 30%

selling price = $273

Let:

c = the cost price

p = profit

Hence,

30% = p / c

p = 30% c = 0.3 c

Meanwhile:

p = selling price - c

p = 273 - c

0.3 c = 273 - c

1.3 c = 273

c = 210

Scenario 2: if the profit is 10% on the cost, then

p = 10% c = 10% x 210 = 21

Therefore,

selling price = p + c = 21 + 210 = 231

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