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Ravi lent ₹12,000 to his friend at a simple interest rate of 8% per annum. After how many years will the total amount become ₹16,800 ?
Question

Ravi lent ₹12,000 to his friend at a simple interest rate of 8% per annum. After how many years will the total amount become ₹16,800 ?

A.

4 years

B.

5 years

C.

6 years

D.

8 years

Correct option is B

Given
Principal (P) = ₹ 12000
Rate (R) = 8% per annum
Total Amount (A) = ₹ 16800

Formula Used
Simple Interest (SI) = Amount - Principal
Time (T) =  SI×100P×R\frac{SI \times 100}{P \times R}​​

Solution
Calculate the total Simple Interest earned:
SI = 16800 - 12000 = 4800
T=4800×10012000×8 T=48000096000 T=5yearsT = \frac{4800 \times 100}{12000 \times 8}\\\ \\T = \frac{480000}{96000}\\\ \\T = 5 years​​

Final Answer
So the correct answer is (b)

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