## 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 %