किसी वस्तु को 2,000 रुपये में बेचने पर अर्जित प्रतिशत लाभ, उसी वस्तु को 1,200 रुपये में बेचने पर होने वाली प्रतिशत हानि के समान है। 20% का लाभ अर्जित करने के लिए उस वस्तु को किस मूल्य पर बेचा जाना चाहिए?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 2)
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  1. 2,000 रुपये 
  2. 1,800 रुपये 
  3. 1,920 रुपये 
  4. 1,840 रुपये 

Answer (Detailed Solution Below)

Option 3 : 1,920 रुपये 
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Detailed Solution

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दिया गया है:

पहला विक्रय मूल्य (S.P)1 = 2000 रुपये 

दूसरा विक्रय मूल्य (S.P)2 = 1200 रुपये

प्रयुक्त सूत्र:

लाभ = (S.P - C.P)

हानि = (C.P - S.P)

जहाँ, C.P = क्रय मूल्य

गणना:

प्रश्न के अनुसार:

⇒ (S.P1 - C.P) = (C.P - S.P2)

⇒ (2000 - C.P) = (C.P - 1200)

⇒ 2 × C.P = 3200

⇒ C.P = 1600 रुपये 

अभीष्ट लाभ % = 1600 × 120%

⇒ 16 × 120 = 1920 रुपये

∴ सही उत्तर 1920 है।

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