# Calculate Selling Price using Cost and Loss Percent

How to calculate selling price using cost and loss percent?

We know, Selling Price = cost price - loss

Selling Price = cost price - $$\frac{Loss Percentage × Cost Price}{100}$$

Selling Price = $$\frac{100 × Cost Price - Loss Percentage × Cost Price}{100}$$

Selling Price = Cost Price ($$\frac{100 - Loss Percentage}{100}$$), [Here, cost price and loss% are known.]

Solved examples will help us to find selling price when the cost price and loss% are known:

1. Shelly bought a dress for $150 and sold it to Jenny there by suffering a loss of 10%. Find the selling price of the dress. Solution: Given cost price =$150

Loss % = 10%

We know, selling price =  Cost Price ($$\frac{100 - Loss Percentage}{100}$$)

=  150 ($$\frac{100 - 10}{100}$$)

=  150 ($$\frac{90}{100}$$)

=  ($$\frac{150 × 90}{100}$$)

= 9 × 15

= $135 Therefore, selling price of the dress is$135.

2. Mike bought a laptop for $800 and sold it to Jack there by suffering a loss of 12%. Find the selling price of the laptop. Solution: Given cost price =$800

Loss % = 12%

We know, selling price = Cost Price ($$\frac{100 - Loss Percentage}{100}$$)

= 800 ($$\frac{100 - 12}{100}$$)

= $$\frac{800 × 88}{100}$$

= 88 × 8

= $724 Therefore, selling price of the laptop is$724.

3. By selling a chair for $372, Daisy loses 7%. At what price must she sell it to gain 10%. Solution: Given selling price =$ 372

Loss % = 7%

We know, Cost Price = $$\frac{Selling Price × 100}{100 - Loss Percentage}$$

Therefore, cost price = $$\frac{372 × 100}{100 - 7}$$

= $$\frac{372 × 100}{93}$$

= $400 Now cost price =$400

Gain% = 10%

Therefore, selling price = Cost Price [$$\frac{100 + Gain Percentage}{100}$$]

= 400 [$$\frac{100 + 10}{100}$$]

= 110 × 4

= \$440

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