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    ​What is the principal amount which earns ₹154/- as a compound interest for the second year at 10% per annum?​
    Question

    What is the principal amount which earns ₹154/- as a compound interest for the second year at 10% per annum?

    A.

    ₹2,750.50

    B.

    ₹1,540.00

    C.

    ₹1,200.00

    D.

    ₹1,400.00

    Correct option is D

    Given:

    CI (Second year) = 154

    Rate = 10%

    Formula used:

    The compound Interest for the second year (CI) = Principal Rate×(1+Rate)

    Solution:

    Let the Principal is =P P

    Substitute the value in above formula:

    (CI) = Principal Rate×(1+Rate)

    154= P P​×10100\frac{10}{100}×(1+10100)(1+\frac{10}{100})

    154= P10\frac{P}{10}×1110\frac{11}{10} 

    P P= 154×10011\frac{154×100}{11} 

    PP= 1400

    Thus the correct answer is (D)

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