Multiple choice

A shopkeeper bought a chair at a fixed price from a manufacturer. He sold the chair in his shop at a P% profit. If he had bought a chair at a 20% lower price from the manufacturer and sold the item at (P + 5)% profit, the difference between the two selling prices of the chair would have been Rs. 357. If the new selling price is Rs. 1768, find the original cost price. एक दुकानदार ने एक निर्माता से एक निश्चित मूल्य पर एक कुर्सी खरीदी। उसने अपनी दुकान में कुर्सी को P% लाभ पर बेचा। यदि उसने निर्माता से 20% कम मूल्य पर कुर्सी खरीदी होती और उस वस्तु को (P + 5)% लाभ पर बेचा होता तो कुर्सी के दोनों विक्रय मूल्यों का अंतर 357 रुपये होता। यदि नया विक्रय मूल्य 1768 रुपये है, तो मूल लागत मूल्य ज्ञात कीजिये।

  1. 1500

  2. 1700

  3. 1850

  4. 1750

  5. None of these / इनमें से कोई नहीं

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let original CP = x. Original SP = x(1 + P/100). New CP = 0.8x (20% less). New SP = 0.8x(1 + (P+5)/100) = 1768. Difference: |x(1 + P/100) - 0.8x(1 + (P+5)/100)| = 357. From new SP: 0.8x(1 + (P+5)/100) = 1768. Substituting and solving gives x = 1700. Check: If x = 1700, original SP = 1700(1 + P/100), new SP = 1360(1 + (P+5)/100) = 1768. Then 1 + (P+5)/100 = 1.3, so P = 25%. Original SP = 1700 × 1.25 = 2125. Difference = 2125 - 1768 = 357 ✓.