Multiple choice

A table is sold at a profit of 20%. If both the cost price and the selling price of the table are decreased by Rs. 100, the profit would be 5% more, original cost price of the table is- एक मेज को 20% लाभ पर बेचा जाता है। यदि मेज के क्रय मूल्य और विक्रय मूल्य दोनों में 100 रू. की कमी कर दी जाती है तो लाभ में 5% और वृद्धि हो जाती है, तो मेज का वास्तविक मूल्य है-

  1. Rs. 600

  2. Rs. 550

  3. Rs. 650

  4. Cannot be determined तय नहीं कर सकते

  5. Rs. 500
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let CP = x. SP at 20% profit = 1.2x. New CP = x - 100, new SP = 1.2x - 100. New profit percentage = ((1.2x - 100) - (x - 100))/(x - 100) × 100 = (0.2x)/(x - 100) × 100. This is 5% more than 20%, so new profit = 25%. Therefore 0.2x/(x - 100) = 0.25, giving 0.2x = 0.25x - 25, so 0.05x = 25, x = 500. The claimed answer E (Rs. 500) is correct.

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