చక్రవడ్డీతో పెట్టుబడి పెట్టిన మొత్తం సొమ్ము 3 సంవత్సరాలలో రూ. 7,800 మరియు 5 సంవత్సరాలలో రూ. 11,232 అవుతుంది. రేటు శాతం ఎంత?

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SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 2)
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  1. 20%
  2. 26%
  3. 18%
  4. 15%

Answer (Detailed Solution Below)

Option 1 : 20%
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Detailed Solution

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ఇచ్చిన:

మొత్తం రూ. 3 సంవత్సరాలలో 7800 మరియు రూ. 5 సంవత్సరాలలో 11232

ఉపయోగించిన ఫార్ములా:

చక్రవడ్డీ వద్ద, చివరి మొత్తం =\(P\left(1+\frac{r}{100} \right)^{n}\)

ఎక్కడ, P =  మొత్తం

r = వడ్డీ రేటు

n = సమయం (సంవత్సరాలు)

లెక్కింపు:

ఇక్కడ రూ. 7800  రెండేళ్లలో చక్రవడ్డీపై 11232.రూ. అవుతుంది.

వడ్డీ రేటు = R

కాబట్టి, 11232 =\(7800\left(1+\frac{R}{100} \right)^2\)

⇒ [(100 + R)/100]2 = 11232/7800

⇒ [(100 + R)/100]2 = 144/100

⇒ [(100 + R)/100]2 = (12/10)2

⇒ [(100 + R)/100] = (12/10)

⇒ 100 + R = 1200/10 = 120

⇒ R = 120 - 100 = 20

∴ రేటు శాతం 20%

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