Multiple choice

The cost price of two articles A and B are in the ratio of 9:11 and ratio of their respective quantities is 4 : 5. If A is sold at 10% profit and B is sold at 20% profit , then what is the overall profit percentage?(approx.) दो वस्तुओ A और B की लागत मूल्य अनुपात 9 : 11 है और उनकी मात्रा का अनुपात 4 : 5 है। यदि वस्तु A को 10% लाभ पर और वस्तु B को 20% लाभ पर बेचा जाता है, तो कुल लाभ प्रतिशत क्या होगा ?(लगभग)

  1. 16%

  2. 18%

  3. 20%

  4. 12.5%
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A Correct answer
Explanation

Let CP of A = 9x, B = 11x and quantities be 4y, 5y. Total CP = 9x×4y + 11x×5y = 36xy + 55xy = 91xy. Total SP = 9x×4y×1.1 + 11x×5y×1.2 = 39.6xy + 66xy = 105.6xy. Profit = 105.6xy - 91xy = 14.6xy. Profit % = (14.6xy/91xy)×100 ≈ 16%.

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