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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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