यदि किसी निश्चित राशि पर 12% वार्षिक चक्रवृद्धि ब्याज की दर से 2 वर्षों के लिए चक्रवृद्धि ब्याज ₹3,688.8 है, तो वह राशि (₹ में) है:

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  1. 14,000
  2. 13,500
  3. 14,500
  4. 15,000

Answer (Detailed Solution Below)

Option 3 : 14,500
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दिया गया है:

चक्रवृद्धि ब्याज (CI) = ₹3,688.8

ब्याज दर (R) = 12% प्रति वर्ष

समय (T) = 2 वर्ष

प्रयुक्त सूत्र:

मिश्रधन (A) = मूलधन (P) × \((1 + \frac{R}{100})^T\)

चक्रवृद्धि ब्याज (CI) = मिश्रधन (A) - मूलधन (P)

गणना:

मान लीजिए मूलधन P है।

2 वर्षों के बाद मिश्रधन (A) = P × \((1 + \frac{12}{100})^2\)

A = P × (1 + 0.12)2

A = P × (1.12)2

A = P × 1.2544

चक्रवृद्धि ब्याज (CI) = A - P

3688.8 = 1.2544P - P

3688.8 = 0.2544P

P = 3688.8 / 0.2544

P = 14500

इसलिए, मूलधन ₹14,500 है।

राशि ₹14,500 है।

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