Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Vatsala buys a car for Rs.7,00,000 and pays upfront Rs.2,50,000 through her credit card. The balance is to be paid in 5 years by equal monthly installments at an interest of 7% per annum as reducing balance. The EMI to be paid by Vatsala will be:- [given $(1.0058)^{-60}=0.7068$]

Options:

Rs. 3692.7

Rs.13,847.2

Rs. 5,744.2

Rs. 8901.7

Correct Answer:

Rs. 8901.7

Explanation:

The correct answer is Option (4) → Rs. 8901.7

$\text{Loan principal }P=700000-250000=450000$

$r=\frac{7}{100\times 12}=\frac{7}{1200}$

$n=5\times 12=60$

$\text{EMI}=\frac{P \cdot r}{1-(1+r)^{-n}}=\frac{450000 \cdot \frac{7}{1200}}{1-(1+\frac{7}{1200})^{-60}}$

$\text{EMI}\approx 8910.54\text{ Rs.}$