₹6,000 के मूलधन पर 10% वार्षिक ब्याज की दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात कीजिए।

Mathematics
₹6,000 के मूलधन पर 10% वार्षिक ब्याज की दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात कीजिए।

ScanSolve AI Answer

Answer

₹1,260

Step 1: Identify the given values. The principal amount (P)(P) is ₹6,000. The annual rate of interest (R)(R) is 10%10\%. The time period (T)(T) is 22 years.

Step 2: Calculate the effective compound interest rate for 2 years. For two years, the effective compound interest rate can be calculated using the formula: Reffective=(R+R+R×R100)%R_{effective} = \left(R + R + \frac{R \times R}{100}\right)\% Substitute R=10%R = 10\%: Reffective=(10+10+10×10100)%R_{effective} = \left(10 + 10 + \frac{10 \times 10}{100}\right)\% Reffective=(20+100100)%R_{effective} = \left(20 + \frac{100}{100}\right)\% Reffective=(20+1)%R_{effective} = (20 + 1)\% Reffective=21%R_{effective} = 21\%

Step 3: Calculate the compound interest. Compound Interest (CI) is the principal multiplied by the effective rate. CI=P×Reffective100CI = P \times \frac{R_{effective}}{100} CI=6000×21100CI = 6000 \times \frac{21}{100} CI=60×21CI = 60 \times 21 CI=1260CI = 1260

The compound interest is ₹1,260.

The final answer is 1,260\boxed{₹1,260}.

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Quick Answer

Identify the given values. The principal amount (P) is ₹6,000.

₹6,000 के मूलधन पर 10% वार्षिक ब्याज की दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात कीजिए।
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Identify the given values. The principal amount (P) is ₹6,000. The annual rate of interest (R) is 10\%. The time period (T) is 2 years. Step 2: Calculate the effective compound interest rate for 2 years. For two years, the effective compound interest rate can be calculated using the formula: R_effective = (R + R + (R × R)/(100))\% Substitute R = 10\%: R_effective = (10 + 10 + (10 × 10)/(100))\% R_effective = (20 + (100)/(100))\% R_effective = (20 + 1)\% R_effective = 21\% Step 3: Calculate the compound interest. Compound Interest (CI) is the principal multiplied by the effective rate. CI = P × R_effective100 CI = 6000 × (21)/(100) CI = 60 × 21 CI = 1260 The compound interest is ₹1,260. The final answer is ₹1,260.