Multiple choice

A shopkeeper bought two articles A and B at two different rates. He marked the article A 50% more and sold it by giving m% of discount. The marked price of the article A is equal to the cost price of B. He sold the article B at a rate twice that of the article A. The total profit percent is 50%. Find the value of m?

  1. 28%

  2. 16.67%

  3. 20%

  4. 25 %

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of A = x, CP of B = y. MP of A = 1.5x = CP of B = y. SP of A = 1.5x(1 - m/100). SP of B = 2 × SP of A. Total CP = x + y = x + 1.5x = 2.5x. Total SP = SP of A + SP of B = 3 × SP of A = 3 × 1.5x(1 - m/100) = 4.5x(1 - m/100). Profit% = 50%, so 1.5 × 2.5x = 4.5x(1 - m/100). Solving gives m = 16.67%.

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