Multiple choice

Cost price of two items A and B combined is Rs 2000. Profit on A is 15% while that on B is 25%. If total profit on both is 19%. find the selling price (in Rs) of the cheaper among the two articles.

  1. 800

  2. 900

  3. 750

  4. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's CP be a, B's CP be b, so a + b = 2000. Total profit = 0.19×2000 = 380. Also: 0.15a + 0.25b = 380. Substituting b = 2000 - a: 0.15a + 0.25(2000 - a) = 380, giving 0.15a + 500 - 0.25a = 380, so -0.1a = -120, a = 1200. Then b = 800. SP of cheaper (B) = 800 × 1.25 = 1000. Since 1000 is not an option, answer is "None of these".

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