एक रक्कम वार्षिक 10% सरळव्याजाने गुंतवली असता, 2 वर्षानंतर ती रक्कम ₹4080 होते. त्याच रकमेवर समान व्याजदराने 1 वर्षातील सरळव्याज (रुपयांमध्ये) किती असेल?

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  1. 340
  2. 680
  3. 170
  4. 1360

Answer (Detailed Solution Below)

Option 1 : 340
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दिलेले आहे:

व्याजदर (R) = वार्षिक 10%

मुदत (T) = 2 वर्षे

2 वर्षानंतर रक्कम (A) = ₹4080

वापरलेले सूत्र:

रास (A) = मुद्दल (P) + सरळव्याज (SI)

सरळव्याज (SI) = (P × R × T) / 100

गणना:

⇒ A = P + SI

⇒ ₹4080 = P + (P × 10 × 2) / 100

⇒ ₹4080 = P + (20P / 100)

⇒ ₹4080 = P (1 + 20 / 100)

⇒ ₹4080 = P × (120 / 100)

⇒ P = ₹4080 × (100 / 120)

⇒ P = ₹3400

1 वर्षासाठी सरळव्याज = (P × R × T) / 100

⇒ SI = (₹3400 × 10 × 1) / 100

⇒ SI = ₹340

1 वर्षासाठी सरळव्याज ₹340 आहे.

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