राकेश ₹5,000 और शिवम ₹9,000 समान वार्षिक साधारण ब्याज दर पर निवेश करते हैं। यदि 3 वर्षों के अंत में शिवम को राकेश से ₹360 अधिक ब्याज मिलता है, तो वार्षिक ब्याज दर (प्रतिशत में) ज्ञात कीजिए।

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  1. 5%
  2. 3%
  3. 1%
  4. 2%

Answer (Detailed Solution Below)

Option 2 : 3%
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दिया गया है:

राकेश द्वारा निवेश किया गया मूलधन (PR) = ₹5,000

शिवम द्वारा निवेश किया गया मूलधन (PS) = ₹9,000

समय (t) = 3 वर्ष

ब्याज में अंतर = ₹360

प्रयुक्त सूत्र:

साधारण ब्याज (SI) = P x r x t / 100

ब्याज में अंतर = SIS - SIR

गणना:

SIS = PR x r x t / 100

SIR = PS x r x t / 100

ब्याज में अंतर = ₹360

⇒ (PS x r x t) / 100 - (PR x r x t) / 100 = ₹360

⇒ r x t x (PS - PR) / 100 = ₹360

⇒ r x 3 x (₹9,000 - ₹5,000) / 100 = ₹360

⇒ r x 3 x ₹4,000 / 100 = ₹360

⇒ r x ₹12,000 / 100 = ₹360

⇒ r x ₹120 = ₹360

⇒ r = ₹360 / ₹120

⇒ r = 3%

∴ वार्षिक ब्याज दर 3% है, और सही उत्तर विकल्प (2) है।

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