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CUET · MATHS · PYQ PAPER 2025

Mr. \(X\) wishes to purchase a house for ₹ \(\ 14,51,400\) from a bank and decided to repay the loan by equal monthly installments (EMI) in \(10\) years. If bank charges interest at 9 % per annum compounded monthly, then the EMI is:
[Given that \((1.0075)^{120}=2.4514\) ]

  1. A ₹ \(18385.50\)
  2. B ₹ \(15627.42\)
  3. C ₹ \(10582.42\)
  4. D ₹ \(18564.50\)
Verified Solution

Answer & Solution

Correct Answer

(A) ₹ \(18385.50\)

Step-by-step Solution

Detailed explanation

\(P = 1451400\) \(i = \frac{9}{12 \times 100} = 0.0075\) \(n = 10 \times 12 = 120\) \(EMI = P \times \frac{i(1+i)^n}{(1+i)^n - 1}\) \(EMI = 1451400 \times \frac{0.0075 \times (1.0075)^{120}}{(1.0075)^{120} - 1}\) \(EMI = 1451400 \times \frac{0.0075 \times 2.4514}{2.4514 - 1}\)…