Formulas
Profit = S.P. –C.P.
Loss = C.P. – S.P.
Profit % = ( \(\frac{Profit}{C.P.}\) x 100) %
Loss % = ( \(\frac{Loss}{C.P.}\) x 100) %
Illustrative Examples
Example 1: John bought a watch for Rs 540 and sold it for Rs 585. Find his profit and profit percentage.
Solution. C.P. of the watch = Rs 540, S.P. of the watch = Rs 585
Profit = S.P. — C.P.
= Rs 585 — Rs 540 = Rs 45
Profit percentage = ( \(\frac{Profit}{C.P.}\) x 100) %
= (\(\frac{45}{540}\) X 100 ) %
= \(\frac{100}{12}\) %
= \(\frac{25}{3}\) %
= \(8\frac{1}{3}\) %
Example 2: By selling a bike for Rs 22464, Ansari incurs a loss of Rs 1536. Find his loss percenta
Solution. S.P. of the bike = Rs 22464, loss = Rs 1536
C.P. of the bike = S.P. + loss = Rs 22464 + Rs 1536 = Rs 24000
Loss percentage = ( \(\frac{Loss}{C.P.}\) x 100) %
= (\(\frac{1536}{24000}\) X 100 ) %
= \(\frac{1536}{240}\) %
= \(\frac{64}{10}\) %
= 6.4 %
Example 3: B ijoy bought bananas at the rate of 5 for Rs 4 and sold them at the rate of 4 for Rs 5. Calculate his gain percentage.
Solution.
C.P. of 5 bananas = Rs 4
C.P. of 1 banana = Rs \(\frac{4}{5}\) = Rs 0.80
S.P. of 4 bananas = Rs 5
S.P. of 1 banana = Rs \(\frac{5}{4}\) = Rs 1.25
Therefore, Gain on the sale of one banana = S.P. — C.P. = Rs 1.25 — Rs 0.80 = Rs 0.45
Gain percentage = ( \(\frac{Profit}{C.P.}\) x 100) %
= (\(\frac{0.45}{0.80}\) X 100 ) %
= \(\frac{145}{80}\) %
= \(\frac{225}{4}\) %
= 56.25 %