जर 5%, 10% आणि p% ची सलग सवलत 31.6% च्या एका सवलतीच्या समतुल्य असेल, तर p चे मूल्य किती आहे?

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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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दिलेल्याप्रमाणे:

सलग सवलत 5%, 10% आणि p% आहेत

एकल सवलत = 31.6%

संकल्पना: चि.किं वर a%, b% आणि c% च्या सलग तीन सूट असल्यास

वि.किं = चि.किं(100 - a)/100 x (100 - b)/100 x (100 - c)/100

वापरलेले सूत्र:

वि.किं = चि.किं x (100 - D%)/100

D% = (D/चि.किं) x 100

गणना:

चि.कि x असू द्या

वि.किं = xx (100 - 5)/100 x (100 - 10)/100 x (100 - p)/100

वि.किं = xx 95/100 x 90/100 x (100 - p)/100

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

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

⇒ (100 - p)/100 = 2 x 68.4/171

(100 - p)/100 = 0.8

(100 - p) = 80

p = 20

P चे मूल्य 20% आहे.

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