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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.
7th Grade Math Problems
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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
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