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    What will be the amount of simple interest on Rs.75,000 at the rate of 253\frac{5}335​​% per annum for a period of 5 years?
    Question

    What will be the amount of simple interest on Rs.75,000 at the rate of 253\frac{5}3​% per annum for a period of 5 years?

    A.

    Rs.13,005

    B.

    Rs.13,000

    C.

    Rs.13,750

    D.

    Rs.13,050

    Correct option is C

    Given:

    Principal, P = Rs. 75000,

    Rate, R = 253%=113%2 \frac{5}{3}\% = \frac{11}{3}\%​ , 

    Time, T = 5 years

    Formula Used:

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

    Solution:

    SI=75000×113×5100 =75000×55300 =4125000300=13750\text{SI} = \frac{75000 \times \frac{11}{3} \times 5}{100}\\ \ \\ = \frac{75000 \times 55}{300} \\ \ \\ = \frac{4125000}{300} = 13750 

    Thus, Simple interest is Rs. 13750 

    Alternate Solution: 

    Rate = 113%=11300\frac{11}3\% = \frac{11}{300} 

    11 - one year SI , For 5 year SI = 55 

    300 unit = 75000 

    so , 55 unit = 75000300×55=13750\frac{75000}{300}\times 55 = ₹13750​​


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