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

1. 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.
2. 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?
3. 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?
4. 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?
5. 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