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Exercises · Q9

Q.A loan of ₹1,80,000 is taken at 12% per annum, to be repaid over 18 monthly instalments. Find the EMI and the total interest paid over the loan's tenure.

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Here P=₹1,80,000P=₹1{,}80{,}000, annual rate 12%12\% so r=0.01r=0.01, tenure n=18n=18 months.

Step 1 — Compute (1+r)n(1+r)^n. (1.01)18=1.196147(1.01)^{18} = 1.196147.

Step 2 — Apply the EMI formula.

EMI=1,80,000×0.01×1.1961471.196147−1=2,153.060.196147≈₹10,976.77\text{EMI} = \frac{1{,}80{,}000\times0.01\times1.196147}{1.196147-1} = \frac{2{,}153.06}{0.196147} \approx ₹10{,}976.77

Step 3 — Total repaid and total interest.

Total repaid=18×10,976.77=₹1,97,581.86\text{Total repaid} = 18\times10{,}976.77 = ₹1{,}97{,}581.86 …

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