Vishnu purchased a house from a company for ₹7,00,000 and make a down payments of ₹1,50,000. He repays the balance is 25 years by monthly installments at 9% compound monthly. What are monthly payments? [Given that $(1.0075)^{-300}=0.1062878338]$ |
₹4,615.58 ₹5,615.58 ₹6615.58 ₹4561.58 |
₹4,615.58 |
The correct answer is option (1) → ₹4,615.58 To calculate Vishnu's EMI, $EMI=\frac{P×r(1+r)^n}{(1+r)^n-1}$ $P$ = Loan Amount = 7,00,000 - 1,50,000 = 5,50,000 $r$ = Monthly interest rate = $\frac{9}{12}=0.75\%$ $n$ = Loan term = 25 year × 12 = 300 months $EMI=\frac{5,50,000×0.0075×(1.0075)^{300}}{(1.0075)^{300}-1}$ $=\frac{32,411.4}{6.848}≃₹4,615.58$ |