Question
Total cost price of two items, A and B, is Rs. 720. Both
are marked up by 50%, and the marked price of item B is Rs. 150 more than that of item A. What is the marked price of item B?Solution
ATQ,
Let the cost prices of A and B be Rs. x and Rs. y, respectively. So, x + y = 720 ............(I) Also, Marked price of A = 1.5x Marked price of B = 1.5y Given, 1.5(y - x) = 150 ⟹ y - x = 100 .............(II) Adding (I) and (II): x + y + y - x = 720 + 100 ⟹ 2y = 820 ⟹ y = 820 / 2 = 410 Therefore, Marked price of item B = 1.5 × 410 = Rs. 615
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