यदि 5%, 10% और p% की क्रमिक छूटें 31.6% की एकल छूट के बराबर हैं, तो p का मान क्या है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 15
  2. 25
  3. 20
  4. 30

Answer (Detailed Solution Below)

Option 3 : 20
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दिया गया है:

क्रमिक छूटें 5%, 10% और p% हैं। 

एकल छूट = 31.6%

संकल्पना: यदि MP पर a%, b% और c% की तीन क्रमिक छूटें हैं। 

SP = MP(100 - a)/100  × (100 - b)/100 × (100 - c)/100 

प्रयुक्त सूत्र:

SP = MP × (100 - D%)/100

D% = (D/MP) × 100

गणना:

माना MP, x है। 

SP = x × (100 - 5)/100 × (100 - 10)/100 × (100 - p)/100

⇒ SP = x × 95/100 × 90/100 × (100 - p)/100

⇒ x × 95/100 × 90/100 × (100 - p)/100 =  x × (100 - 31.6)/100 

 x × 19/20 × 9/10 × (100 - p)/100 =  x × 68.4/100 

⇒ (100 - p)/100 = 2 × 68.4/171

⇒ (100 - p)/100 = 0.8

⇒ (100 - p) = 80

⇒ p = 20

P का मान 20% है। 

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