# Profit and Loss

- When selling price S.P. is more than cost price (C.P.), a profit is made,

profit = S.P. - C.P. - When selling price S.P. is less than cost price (C.P.), a loss is made,

loss = C.P. - S.P. - Percentage profit or loss is calculated on C.P.

% profit = [profit / C.P.] × 100, % loss = [loss / C.P.] × 100 - S.P. or C.P. can be calculated from

S.P. = [(100 + P%) / 100] × C.P., S.P. = [(100 - L%) / 100] × C.P. - C.P. = [100 / (100 + P%)] × S.P., C.P. = [100 / (100 +L%)] × S.P.
- S.P. = M.P. -discount

## Exercise

- A fruit vendor purchased a certain number of oranges at 20 for Rs 15 and sold them at 25 for Rs 20. Find his percentage profit or loss.
- Krishna sold two cameras at Rs 600 each. He made a profit of 50% on one and loss of 50% on the other. Did he gain or lose in the entire transaction? By how much?
- Mr Naidu purchased two transistors at Rs 600 each. He sold one at a profit of 50% and the other at a loss of 50%. Did he gain or lose in the entire transaction? By how much?
- Tanya bought three pigs for Rs 250 each. She sold one at a loss of 10%. At what % profit should she sell the remaining two so as to gain 10% in the entire bargain?
- If C.P. is Rs 200, discount is 10% and profit is 17%, find S.P. and M.P.

## Answers

**1.**20/3% profit

**2.**25% loss

**3.**No profit no loss

**4.**20% profit

**5.**M.P. is Rs 260, S.P. is Rs 234