# Calculate Selling Price using Cost and Profit Percent

How to calculate selling price using cost and profit percent?

We know, Selling Price = Cost Price + Profit

Selling Price = Cost Price + $$\frac{Profit Percentage}{100}$$ × Cost Price

Selling Price = $$\frac{100 × Cost Price + Profit Percentage × Cost Price}{100}$$

Selling Price = Cost Price [$$\frac{100 + Profit Percentage}{100}$$]; [Here, cost price and profit% are known.]

1. Ryan bought a book for $100 and sold it at a profit of 10%. Find the selling price of the book. Solution: Given cost price of the book =$100

Profit% = 10%

We know, Selling Price = Cost Price [$$\frac{100 + Profit Percentage}{100}$$]

= 100 ($$\frac{100 + 10}{100}$$)

= 100 ($$\frac{110}{100}$$)

= $$\frac{100 × 110}{100}$$

= $110 Therefore, the selling price of the book is$110.

2. John bought a music system for $260. For how much should he sell the music system to gain 10%? Solution: Given cost price of the music system =$260

Gain% = 10%

We know, Selling Price = Cost Price [$$\frac{100 + Gain Percentage}{100}$$]

= 260 ($$\frac{100 + 10}{100}$$)

= 260 ($$\frac{110}{100}$$)

= $$\frac{260 × 110}{100}$$

= $286 Therefore, he should sell the music system for$286.

3. Robert bought a machine for $1200 and sold it at a profit of 15%. Find the selling price of the machine. Solution: Given cost price of the machine =$1200

Profit% = 15%

We know, Selling Price = Cost Price [$$\frac{100 + Profit Percentage}{100}$$]

= 1200 ($$\frac{100 + 15}{100}$$)

= 1200 ($$\frac{115}{100}$$)

= $$\frac{1200 × 115}{100}$$

= $1380 Therefore, the selling price of the machine is$1380.

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