एक व्यक्ति अपनी वस्तुओं पर क्रय मूल्य से x% अधिक मूल्य अंकित करता है और अंकित मूल्य पर 12% की छूट देता है। यदि उसका लाभ 10% है, तब x% और लाभ प्रतिशत के बीच का अंतर है:

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. 15%
  2. 18%
  3. 13%
  4. 10%

Answer (Detailed Solution Below)

Option 1 : 15%
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Detailed Solution

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दिया गया है:

छूट = 12%

लाभ = 10%

अंकित मूल्य, क्रय मूल्य से x% अधिक है

प्रयुक्त सूत्र:

P = SP – CP

D = MP – SP

SP = {(100 + P%)/100} × CP

SP = {(100 – D%)/100} × MP

जहाँ, P, लाभ है, CP, क्रय मूल्य है, SP, विक्रय मूल्य है, MP, अधिकतम अंकित मूल्य है और D छूट है।

गणना :

SP = {(100 + 10)/100} × CP

⇒ SP = (110/100) × CP

MP = {(100 + x)/100} × CP

SP = अंकित मूल्य का 88% 

⇒ SP = 88/100 × {(100 + x)/100} × CP

⇒ (110/100) × CP = 88/100 × {(100 + x)/100} × CP

⇒ 110 = 88 × (100 + x)/100

⇒ 1000 = 8 × (100 + x)

⇒ 125 = 100 + x

⇒ x = 25

x% और लाभ प्रतिशत के बीच का अंतर = 25 - 10

⇒ 15%

x% और लाभ प्रतिशत के बीच का अंतर 15% है।

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