Question

Calculate the profit or loss per cent in the following.

1.CP= ₹1050 and SP = ₹900
2.CP=₹25 and SP =₹30​

Answer 1

1st is loss because cp is more than sp

2nd is profit because sp is more than cp

Answer 2

Answer: 1) 14.285 % loss percentage

              2) 20 % gain percentage

Step-by-step explanation:

1. CP = ₹1050 and SP = ₹900

Since CP > SP it will be a loss.

Loss = CP - SP

        = ₹ 1050 - 900

        = ₹150

Loss percentage = $\frac{Loss}{CP}$×100 %

                             = $\frac{150}{1050}$×100 %

                             = $\frac{30}{210}$×100 %         (Divided by 5)

                             = $\frac{1}{7}$×100 %            (Divided by 30)

                             = $\frac{100}{7}$ %

                             = 14.285 %                                                                                                (non-terminating decimal accurate to up to 3 decimals)

2. CP = ₹25 and SP = ₹30​

Since CP < SP it will be a gain.

Gain = SP - CP    

        = ₹ 30 - 25

        = ₹5

Gain percentage = $\frac{Gain}{CP}$×100 %

                             = $\frac{5}{25}$×100 %

                             = $\frac{1}{5}$×100 %              (Divided by 5)

                             = $\frac{100}{5}$ %

                             = 20 %                   (Divided by 5)