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

**7th Grade Math Problems****From Calculate Selling Price using Cost and Loss Percent to HOME PAGE**

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