Question
The selling price of 2 blankets are the same. One of the
blankets is sold at 6(2/3) % profit and the CP of the other blanket is ₹400 less than its SP. If the total profit on selling both the blankets is 50%, then find the selling price of each blanket.Solution
66(2/3) % = 2/3 Let CP of 1st blanket be 3x and 2nd blanket be y SP of 1st blanket = 3x + 3x x 2/3 = 5x SP of 2nd blanket = y + 400 According to the question, 5x = y + 400 5x - y = 400 ----(i) Again, (3x + y) x 3/2 = 5x + y + 400 [.: Total profit on selling both the blankets is 50% and 50% profit on CP = CP x 3/2] 9x + 3y = 10x + 2y + 800 x - y = - 800 Subtracting eq (ii) from eq (i) we get 4x = 1200 x = 300 then 5x = 300 x 5 = 1500 The selling price of each blanket=1500.
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