Multiple choice

The profit earned on selling an article for Rs. 3405 is 12.5% more than the loss occured on selling it for Rs 2640. If the article is sold 12% above the cost price, how many rupees can be earned? एक वस्तु को 3405 रू में बेचने पर हुआ लाभ इसे 2640 में बेचने पर हुई हानि से 12.5% अधिक है। यदि वस्तु को क्रय मूल्य से 12% अधिक पर बेचा जाय, कितने रूपये प्राप्त किये जा सकते हैं?

  1. Rs. 300

  2. Rs. 450

  3. Rs. 240

  4. Rs. 360
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be cost price. Loss at Rs. 2640 = CP - 2640. Profit at Rs. 3405 = 3405 - CP. Given: (3405 - CP) = 1.125(CP - 2640). Solving: 3405 - CP = 1.125CP - 2970, so 2.125CP = 6375, CP = Rs. 3000. At 12% above CP, selling price = 1.12 × 3000 = Rs. 3360, so profit earned = Rs. 360. The key is setting up the relationship between profit and loss correctly.

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