Profit and loss :

Formula

C.P.= Cost price

S.P.=Selling price

Profit or gain=S.P. − C.P.

Loss=C.P. – S.P.

1. Gain on Rs. 100 is Gain %

Gain % = Gain × 100/C.P.

Loss on Rs. 100 is Loss %

Loss %= Loss × 100/C.P.

2. The cost price of a shirt is Rs. 200 and selling price is Rs. 300. Calculate the percent profit.

Solution : We have, C.P.= Rs. 200, S.P.=Rs. 300

Profit = S.P.− C.P.=300−200=Rs. 100

∴ Profit % = Profit × 100/ C.P.=100×100/200=50%

3. Raghu brought a car for Rs. 1500 and sold it for Rs. 1350. Find his % of loss.

Solution : Here, C.P.= Rs. 1500, S.P.=Rs. 1350

Loss = C.P.− S.P.=1500−1350=Rs.150

∴ Loss % = Loss × 100/ C.P.=150×100/1500=10%

4. Mr. Burma buys a T.V. for Rs. 9000. For how much should he sell so that there is a gain of 8% ?

Solution : We have, C.P.= Rs. 9000, gain %=8%

∴ S.P. = (100 + Gain %/100) × C.P.

= (100+8/100) × 9000

=108/100×9000=9720

5. By selling a motor-cycle for Rs. 14400, Biren loses 10%. Find the cost price of the motor-cycle.

Solution : We have, S.P.= Rs. 14400, loss %=10%

∴ C.P. = (100/100−Loss %) × S.P.

= (100/100−10) × 14400

=100/90×14400=16000.