# Calculate Profit and Profit Percent

We will learn how to calculate profit and profit percent.

If selling price is more than the cost price (S.P. > C.P.), there is a profit.

Profit = S.P. – C. P.

or, S. P. = P + C. P.

C.P. = S. P. – P

Profit percent → profit on $100 is called profit% Profit% is always calculated on C.P So, profit% = $$\frac{Profit}{C.P.}$$ x 100 Solved examples: Jack purchased 400 calculators at$200 each. He spent $5 on packing each calculator, paid$100 to the carrying for loading and $400 on transportation. He sold 300 at a rate of$280 each and 100 at the rate of $180 each. Find his profit or loss per cent in the whole transportation. Solution: C.P. of 1 calculator =$200

C.P. of 400 calculators = $200 x 400 =$80000

Money spent on packing 1 calculator = $5 Money spent on packing 400 calculators =$400 x 5 = $2000 Overhead expenses =$(2000 + 100 + 400)

= $2500 C.P. of 400 calculators = Actual C.P. + Overhead expenses =$80000 + $2500 =$82500

S.P. of 400 calculators = S.P. of 300 calculators + S.P. of 100 calculators

S.P. of 1 calculator = $280 S.P. of 300 calculators =$280 x 300 = $84000 S.P. of 1 calculator =$180

S.P. of 100 calculators = $180 x 100 =$18000

S.P. of 400 calculators = $84000 +$18000 = $102000 S. P. > C. P., there is profit, therefore, profit – S.P. – C.P. Profit =$(102000 – 82500) = \$19500

Profit% = $$\frac{Profit}{C.P.}$$ x 100

= $$\frac{19500}{82500}$$ x 100%

= 23.6%

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