Multiple choice

The cost price of two articles are equal. One article is sold at 16% profit and the other article is sold at 8% loss. What is the overall percentage profit? दो वस्तुओं का क्रय मूल्य समान है। पहली वस्तु को 16% के लाभ पर बेचा जाता है और दूसरी वस्तु को 8% की हानि पर बेचा जाता है। कुल लाभ प्रतिशत क्या है ?

  1. 4%

  2. 10%

  3. 12%

  4. 8%
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A Correct answer
Explanation

Let CP of each article be x. SP1 = 1.16x (16% profit), SP2 = 0.92x (8% loss). Total SP = 2.08x, Total CP = 2x. Overall profit = (2.08x - 2x)/2x × 100 = 0.08x/2x × 100 = 4%. Since CPs are equal, the net effect is average of +16% and -8%, which is (+16 - 8)/2 = 4%. Common pattern: profit and loss on equal cost prices.

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