ধারাবাহিক ছাড় 5%, 10% এবং p% যদি 31.6% এর একক ছাড়ের সমতুল্য হয়, তাহলে p এর মান হল:

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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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প্রদত্ত:

ধারাবাহিক ছাড় হল 5%, 10% এবং p%

একক ছাড় = 31.6%

ধারণা: MP-তে a%, b% এবং c% এর তিনটি ধারাবাহিক ছাড় থাকলে

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

ব্যবহৃত সূত্র:

SP = MP × (100 - D%)/100

D% = (D/MP) × 100

গণনা:

ধরাযাক MP হল x

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 এর মান 20%

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