Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Mr.  Bharti wishes to purchase a flat for ₹6000000 with a down payment of ₹1000000 and balance in equal monthly payments for 20 years. If bank charges 7.5% p.a. compounded monthly, calculate the EMI.

(Given $(1.00625)^{240}=4.4608)$

Options:

$₹43279.78$

$₹42279.76$

$₹41375.65$

$₹40279.70$

Correct Answer:

$₹40279.70$

Explanation:

The correct answer is option (4) : $₹40279.70$

Cost of flat $=₹60,00,000$

Cash payment $=₹10,00,000$

Balance $=₹50,00,000$

Given $P=₹50,00,000$

$n=12×20=240 months $

$i=\frac{7.5}{1200}=0.00625$

$∴EMI=\frac{5000000×0.00625×(1.00625)^{240}}{(1.00625)^{240}-1}$

$=₹40279.70$