Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

A person amortizes a loan of Rs 1500000 for renovation of his house by 8 years mortgage at the rate of 12% p.a. compounded monthly. Find the equated monthly installment.

(Given $(1.01)^{96}=2.5993, (1.01)^{57}=1.7633)$

Options:

₹24379.10

₹25639.16

₹26395.65

₹27365.48

Correct Answer:

₹24379.10

Explanation:

The correct answer is option (1) : ₹24379.10

Given $P=₹1500000, n=12×8=96\, months $

i.e $i=\frac{12}{1200}=0.01$

$EMI=\frac{1500000×0.01(1.01)^{96}}{(1.01)^{96}-1}$

$=₹24379.10$