5%, 10% మరియు p% వరుస తగ్గింపులు 31.6% ఒకే తగ్గింపుకు సమానం అయితే, p విలువ:

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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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Detailed Solution

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ఇచ్చిన:

వరుస తగ్గింపులు 5%, 10% మరియు p%

సింగిల్ డిస్కౌంట్ = 31.6%

కాన్సెప్ట్: MPపై a%, b% మరియు c% వరుసగా మూడు తగ్గింపులు ఉంటే

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

ఉపయోగించిన ఫార్ములా:

SP = MP x (100 - D%)/100

D% = (D/MP) x 100

లెక్కింపు:

MP x అని ఉండనివ్వండి

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

⇒ SP = 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 విలువ 20%.

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