₹1,50,000 की जमा राशि पर, R को एक वर्ष में साधारण ब्याज दर पर ₹2,000 ब्याज मिलता है। ₹4,500 ब्याज पाने के लिए उसे कितनी राशि (₹ में) जमा करनी चाहिए?

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  1. 3,77,500
  2. 2,77,500
  3. 4,25,500
  4. 3,37,500

Answer (Detailed Solution Below)

Option 4 : 3,37,500
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Detailed Solution

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दिया गया:

मूल राशि (P) = ₹1,50,000

ब्याज (I) = ₹2,000

समय (T) = 1 वर्ष

प्रयुक्त सूत्र:

साधारण ब्याज, I = \(\frac{P × R × T}{100}\)

गणना:

दिए गए आँकड़ों का उपयोग करके ब्याज दर (R) ज्ञात कीजिए:

\(2,000 = \frac{1,50,000 × R × 1}{100}\)

⇒ 2,000 = 1,500 × आर

\(R = \frac{2,000}{1,500}\)

\(R = \frac{4}{3}\) %

अब, हमें ₹4,500 का ब्याज पाने के लिए मूल राशि (Pnew) ज्ञात करनी होगी:

ब्याज (Inew) = ₹4,500

\(4,500 = \frac{Pnew × \frac{4}{3} × 1}{100}\)

\(4,500 = \frac{4}{300} × Pnew \)

\(4,500 = \frac{2}{150} × Pnew \)

\(4,500 = \frac{Pnew}{75}\)

⇒ P new = 4,500 × 75

⇒ P new = 3,37,500

₹4,500 ब्याज पाने के लिए उसे ₹3,37,500 जमा करना होगा।

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