Multiple choice

Cost price of article A is Rs. 200 more than the cost price of article B. Article A was sold at 10% loss and article B was sold at 25% profit. If the overall profit earned after selling both the articles is 4%, then what is the cost price of article B?

  1. Rs. 300

  2. Rs. 400

  3. Rs. 450

  4. Rs. 500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price of B be x, making the cost price of A equal to x + 200. Setting up the equation for total selling price, we get 0.9(x + 200) + 1.25x = 1.04(2x + 200). Solving this equation yields x = 400, which is the cost price of article B.

AI explanation

Let the cost price of article B be Rs. x, making the cost price of article A Rs. (x + 200). Using the mixture and alligation method for the overall profit of 4%, the ratio of the cost prices of A to B is (25 - 4) : (4 - (-10)), which equals 21 : 14 or 3 : 2. Setting up the equation x / (x + 200) = 2 / 3 gives 3x = 2x + 400, so the cost price of article B is Rs. 400.

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