How
to calculate cost price using sell price and profit percent? We know that cost price = selling price - profit cost price = selling price - \(\frac{Profit Percentage}{100}\) × cost price cost price + \(\frac{Profit Percentage}{100}\) × cost price = selling price cost price [1 + \(\frac{Profit Percentage}{100}\)] = selling price cost price [\(\frac{100 + Profit Percentage}{100}\)] = selling price Also, cost price = \(\frac{Selling Price × 100}{100 + Profit Percentage}\); (on cross multiplication); Here, selling price and loss% is known. Solved examples will help us to find cost price when the selling price and profit% are known: 1. A bag was sold for $324 thereby gaining 8%. Find the cost price of the bag. Solution: Given selling price = $324 Gain% = 8% We know, cost price = \(\frac{Selling Price × 100}{100 + Gain Percentage}\) Therefore, cost price = \(\frac{324 × 100}{100 + 8}\) = \(\frac{324 × 100}{108}\) = 12 × 25 = $300 Therefore, the cost price of the bag is $300. 2. A book was sold for $575 thereby gaining 15%. Find the cost price of the book. Solution: Given selling price = $575 Gain% = 15% We know, cost price = \(\frac{Selling Price × 100}{100 + Gain Percentage}\) Therefore, cost price = \(\frac{575 × 100}{100 + 15}\) = \(\frac{575 × 100}{115}\) = \(\frac{57500}{115}\) = $500 Therefore, the cost price of the book is $500. 7th Grade Math Problems From Calculate Cost Price using Sell Price and Profit Percent to HOME PAGE
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