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    Ramesh invested a certain sum of money at 9% per annum simple interest. If he receives an interest of ₹20,250 after one year, the sum he invested is:&
    Question

    Ramesh invested a certain sum of money at 9% per annum simple interest. If he receives an interest of ₹20,250 after one year, the sum he invested is: 

    A.

    ₹2,25,000 

    B.

    ₹2,00,000 

    C.

    ₹2,75,000 

    D.

    ₹2,50,000 

    Correct option is A

    Given:

    Rate of interest (R) = 9% per annum

    Interest received (SI) = ₹20,250

    Time (T) = 1 year 

    Formula Used:  

    SI = P×R×T100\frac{P \times R \times T}{100} 

    Solution: 

    Let P be the principal.

    Then, 

    20250=P×9×1100  P=20250×1009  P=22500020250 = \frac{P\times 9 \times 1}{100} \\ \ \\ \implies P = \frac{20250 \times 100}{9} \\ \ \\\ P = 225000  

    Thus, Principal is ₹2,25,000

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