Question

Question :-

Three items are purchased at Rs 450 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 % on these two items?

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Answer 1

solution :-

we have,

C.p of one item = Rs 450

∴ S.p. of three item = Rs ( 3 × 450 ) = Rs 1350

Gain on the whole transaction

= 20℅ of S.p.

= 20℅ of Rs 1350

= Rs(20/100 × 1350)

= Rs 270

∴ S.p of three items = C.p + Gain

= Rs 1350 + Rs270

= Rs 1620

it is given that first item is sold at a loss of 10℅

∴ Loss on selling price first item

= 10℅ of Rs 450

= Rs ( 10/100×450)

= Rs 45

∴ S.p. of the first item = C.p - Loss

= Rs 450 - Rs 45 = Rs405

S.P. of three items is Rs 1620 and the S.P. of first item is Rs 405

∴ S .P. of the remaining two items

= Rs 1620 - Rs405 = Rs1215

Thus, the other two items should be sold at Rs 1215

C.P. of the remaining two items =Rs(2x 450) = Rs 900

∴ Gain % on the remaining two items = S.p.-C.p.

= Rs1215 - Rs 900 = Rs315.

∴ Gain % on the remaining two items

= ( 315/900×100)℅ = 35%