How to calculate cost price using sell price and loss percent?

We know that cost price = selling price + loss

cost pr

ice = selling price + loss% × cost price/100

cost price - loss% × cost price/100 = selling price

cost price(1 - loss%)/100 = selling price

cost price(100 - loss%)/100 = selling price

Also, cost price = selling price × 100/100 - loss% (on cross multiplication);

Here, selling price and loss% is known.

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

**1.** By selling a bicycle
for $135, a shopkeeper loses 10%. How much percent would he gain or lose by
selling it for $165?

**Solution: **

Given selling price = $135

Loss % = 10%

We know, cost price = selling price × 100/100 - loss%

= 135 × 100/100 - 10

= 135 × 100/90

= 13500/90

= 150

Therefore, cost price of the bicycle = $150

Now, if the selling price = $165, then gain = $165 - $150 = $15

Therefore, gain% = gain/cost price × 100

= 15/150 × 100

= 1500/150

= 10%

Therefore, he would have gained 10%.

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

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