Question

dipa bought 6 oranges for rs 10 and sold them at 4 for rs 6.find his loss or gain percent

Answer 1

Cost Price of 6 oranges = Rs. 10

Cost price of 1 orange = 10/6 = Rs.5/3

Selling price of 4 oranges = Rs. 6

Selling price of 1 orange = 6/4 = Rs.3/2

We can see that Dipa has a 'loss'

Loss = C.P - S.P = 5/3 - 3/2 = 5*2/6 - 3*3/6 = 10-9/6 = 1/6...... [taking lcm==6]

Loss % = Loss/C.P * 100

           = (1/6)/(5/3) * 100 = (1*3)/(6*5) * 100 = 10%

Hence, 10% loss

                              Method II

C.P:  6 oranges                                      Rs.10

S.P: 4 oranges                                        Rs. 6

Lets make the number of articles same (by taking LCM of 6,4 = 12)

C.P: 12 oranges              Rs.20

S.P 12 oranges               Rs.18

Loss = 20-18 = Rs.2

Loss % = 2/20 * 100 = 10%

Answer 2

Cost of 1 orange = Rs. 10 ÷ 6 oranges

                           = Rs.1.6666

Cost of 4 oranges = Rs.1.6666 × 4 oranges = Rs.6.6666

Selling Price of 4 oranges = Rs.6

Selling Price < Cost Price = Loss = Rs.6 - Rs.6.6666 = Rs.0.66666

Loss % on Cost  Price = (Rs.0.6666/ Rs.6.6666) × 100 = 10%

Loss % on Selling Price = (Rs.0.6666/Rs.6) × 100 = 11.11%