Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Mrs Dubey borrowed Rs 500000 from a bank to purchase a car and decided to repay by monthly installments in 5 years. The bank charges interest at 8% p.a. compounded monthly. Calculate the EMI.

(Given $(1.0067)^{60}=1.4928$)

Options:

$₹10277.49$

$₹10147.89$

$₹10365.99$

$₹10968.49$

Correct Answer:

$₹10147.89$

Explanation:

The correct answer is option (2) : $₹10147.89$

Given $P=₹500000$

$n= 12×5=60 \, \, months $

$i=\frac{8}{1200}=0.0067$

$∴EMI=\frac{P×i(1+i)^n}{(1+i)^n-1}$

$=\frac{500000×0.0067 ×(1.0067)^{60}}{(1.0067)^{60}-1}$

$=\frac{500000×0.0067×1.4928}{0.4928}$

$=₹10147.89$