Multiple choice

Two items A and B are sold at a profit of 10% and 15% respectively. If the amount of profit received is the same and total selling is Rs.5600, then the cost price of together A and B may be - दो वस्तुएँ A और B क्रमशः 10% और 15% लाभ पर बेची गई है । यदि उन पर प्राप्त लाभ की राशि एक समान रही हो और कुल विक्रय मूल्य 5600 रु. है, तो A और B का लागत मूल्य एकसाथ कितना हो सकता है?

  1. Rs./रु.2500

  2. Rs./रु.7000

  3. Rs./रु.5000

  4. Rs./रु.8000
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C Correct answer
Explanation

Let CP_A = x and CP_B = y. Given 10% of x = 15% of y (equal profit), so 0.10x = 0.15y, which gives x = 1.5y. Total SP = 1.10x + 1.15y = 5600. Substituting x = 1.5y: 1.10(1.5y) + 1.15y = 1.65y + 1.15y = 2.80y = 5600, so y = 2000 and x = 3000. Combined CP = 2000 + 3000 = 5000. Options A, B, D are incorrect as they don't satisfy the equal profit condition.

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