Question

11. Three items are purchased at 1000 each. One of them is sold at a loss of
10%. At what price should the other two be sold, so as to gain 20% on the whole transaction? What is the gain per cent on these two items?​

Answer 1

C.P. of one item = Rs. 450, C.P. of three items = 3 x Rs. 450 = Rs.1350

Gain on the whole transaction = 20%

∴ S.P. of the three items =

100

1350×120 =Rs.1620

C.P. of 1 item = Rs. 450, Loss = 10%

∴ S.P. of that item =

100

450×90 =Rs.405

∴ S.P. of the remaining two items = Rs.1620-Rs.405=Rs.1215

C.P. of these two remaining items =2×Rs.450=Rs.900

∴ Gain on these two items = Rs.315

Gain % =

900

315

×100=35%