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    Find the compound interest earned on Rs. 60,000 for 2 years at the rate of 5 percent per annum.
    Question

    Find the compound interest earned on Rs. 60,000 for 2 years at the rate of 5 percent per annum.

    A.

    Rs. 6000

    B.

    Rs. 6150

    C.

    Rs. 60,000

    D.

    Rs. 66,150

    Correct option is B

    Given:
    Rate = 5%
    Amount = Rs. 60,000
    Time = 2 years
    Formula Used:
    For Compound Interest,
    A=P{1+R100}nA = P \left\{1 + \frac{R}{100} \right\}^n \\​​
    Solution:
    A=P{1+R100}n=>A=60000{1+5100}2=>A=60000{1+120}2=>A=60000(2120)2=>A=Rs. 66150A=P+CI=>CI=AP=>CI=6615060000=>CI=Rs. 6150The compound interest is Rs. 6150.A = P \left\{1 + \frac{R}{100} \right\}^n \\\Rightarrow A = 60000 \left\{1 + \frac{5}{100} \right\}^2 \\\Rightarrow A = 60000 \left\{1 + \frac{1}{20} \right\}^2 \\\Rightarrow A = 60000 \left( \frac{21}{20} \right)^2 \\\Rightarrow A = \text{Rs. } 66150 \\A = P + \text{CI} \\\Rightarrow \text{CI} = A - P \\\Rightarrow \text{CI} = 66150 - 60000 \\\Rightarrow \text{CI} = \text{Rs. } 6150 \\\therefore \text{The compound interest is Rs. } 6150.​​
    Alternate Solution:
    CI for 1st year 5% of 60000 = 3000
    Amount = 63000
    CI for next year = 5% of 63000 = 3150
    Amount = 66150
    CI for 2 years = 66150 - 60000 = Rs.6150

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