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    Azim borrowed a certain sum which amounted to Rs.19,800 in 36months at 12.5% per annum simple interest. What is the borrowed sum?
    Question

    Azim borrowed a certain sum which amounted to Rs.19,800 in 36months at 12.5% per annum simple interest. What is the borrowed sum?

    A.

    Rs.14400

    B.

    ​Rs.13,600

    C.

    ​Rs. 29,600

    D.

    ​Rs. 212,800

    Correct option is A

    ​​Given: 

    Rate (R) = 12.5%,

    Amount(A)  = Rs. 19,800,

    Time(T) = 36 month= 3 years

    Formula Used: 

    S.I.=P×R×T100S.I.=\frac{{P}\times{R}\times{T}}{100} 

    Amount = P + SI 

    Solution:  

    Applying the solution;

    19800=P+P×12.5×3100 19800=100P+37.5P100 137.5P100=19800 P=19800×100137.5 P=1440019800 = P + \frac{P \times 12.5 \times 3}{100} \\ \ \\ 19800 = \frac{100 P+ 37.5P}{100} \\ \ \\ \frac{137.5P}{100} = 19800 \\ \ \\ P = \frac{19800 \times 100}{137.5} \\ \ \\ P = ₹14400 ​​

    Thus, Principle is ₹14400


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