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Sarah lent ₹12000 to John on 10 January 2024 at a simple interest rate of 6% per annum. John plans to pay back the entire amount on 10 July 2024. What
Question

Sarah lent ₹12000 to John on 10 January 2024 at a simple interest rate of 6% per annum. John plans to pay back the entire amount on 10 July 2024. What is the total amount John needs to return?

A.

₹12300

B.

₹12360

C.

₹12400

D.

₹12420

Correct option is B

Given:
Principal (P) = ₹12,000
Rate of Interest (R) = 6% per annum
Time (T) = From 10 January 2024 to 10 July 2024 = 6 months = 1/2 year
Formula Used:
Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}​​
Total Amount = Principal + Simple Interest
Solution:
SI=12,000×6×12100 SI=36,000100=360\text{SI} = \frac{12{,}000 \times 6 \times \tfrac{1}{2}}{100}\\\ \\\text{SI} = \frac{36{,}000}{100} = ₹360​​
Total Amount = 12,000 + 360 = ₹12,360
Therefore, the total amount John needs to return is ₹12,360.

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