Multiple choice

Two items are sold at a profit of 10% and 15% respectively. If the amount of profit received is same, then what is the cost price of first item, if selling price of second item is Rs.2300? दो वस्तुओं को क्रमशः 10% और 15% के लाभ पर बेचा जाता है | यदि प्राप्त लाभ की धनराशि समान है, तो पहली वस्तु का क्रय मूल्य क्या है, यदि दूसरी वस्तु का विक्रय मूल्य 2300 रु. है ?

  1. Rs./रु.1000

  2. Rs./रु.5000

  3. Rs./रु.4000

  4. Rs./रु.3000
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D Correct answer
Explanation

Let CP1 = x and CP2 = y. Profit on first item = 10% of x = 0.10x. Profit on second item = 15% of y = 0.15y. Since profits are equal: 0.10x = 0.15y. Also, SP of second item = y + 0.15y = 1.15y = 2300, so y = 2000. Therefore profit = 0.15 × 2000 = 300. Solving: 0.10x = 300, x = 3000. Hence CP of first item is Rs. 3000.

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