Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A loan of Rs 400000 at the interest rate of 6.75% p.a. compounded monthly is to be amortized by equal payments  at the end of each month for 10 years. Find the size of each monthly payment.

(Given $(1.005625)^{12}1201.9603, (1.005625)^{60}=1.4001)$

Options:

₹45493

₹44393

₹43126

₹42365

Correct Answer:

₹45493

Explanation:

The correct answer is option (1) : ₹45493

Given $P= ₹400000$

$n=120$

$i=\frac{6.75}{1200}=0.005625$

$∴EMI=\frac{400000×0.005625×(1.005625)^{100}}{(1.005625)^{120}-1}$

$=\frac{400000×0.005625×1.9603}{0.9603}$

$=₹45493$