Question

three items are purchased at rupees 450 each. one of them is sold at a loss of 10% at what price should the others be sold so as to gain 20% on the whole transaction. what is the gain percent of these two items?

Answer 1

Cost of three items = Rs. 450

Cost of 1 item = 450/3 = Rs. 150

Selling price of 3 items  for getting 20% profit = x

x/450 = 120/100

100x = 450 x 120

x = 45 x 12 = Rs 540

He sold 1st item = y

y/150 x 80/100

100y = 150 x 80

y = 15 x 8 = Rs 120

Selling price of 2 items should be = 540 - 120 = 420

Cost of 2 items = 150 x 2 =300

The profit from these two items shoulkd be 420 - 300 = Rs 120

The gain percent of these two items = 120 x 100/300

                                                            = 40 %