Multiple choice

A shopkeeper sells a cycle at a loss of 15%. If the selling price had been increased by Rs. 456, seller would have gained 23%. Find the cost price of the cycle. एक दुकानदार एक साइकिल 15% के नुकसान पर बेचता है । यदि बिक्री मूल्य में 456 रु की वृद्धि की जाती तो विक्रेता 23% लाभ अर्जित करता । साइकिल का क्रय मूल्य ज्ञात कीजिये ।

  1. 1200 Rs/रुपये

  2. 1300 Rs/रुपये

  3. 1250 Rs/रुपये

  4. 1500 Rs/रुपये

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A Correct answer
Explanation

Let CP = x. At 15% loss: SP = 0.85x. At 23% gain: SP = 1.23x. Difference: 1.23x - 0.85x = 0.38x = 456. Therefore x = 456/0.38 = 1200. The 456 rupee increase represents 38% of cost price.