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CUET · MATHS · PYQ PAPER 2025

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 \((1.0058)^{-60} = 0.7068\)

  1. A Rs. 3692.7
  2. B Rs. 13,847.2
  3. C Rs. 5,744.2
  4. D Rs. 8901.7
Verified Solution

Answer & Solution

Correct Answer

(D) Rs. 8901.7

Step-by-step Solution

Detailed explanation

\(P = 7,00,000 - 2,50,000 = 4,50,000\) \(r = \frac{0.07}{12} = 0.0058\) \(N = 5 \times 12 = 60\) \(EMI = P \times \frac{r}{1 - (1+r)^{-N}}\) \(EMI = 4,50,000 \times \frac{0.0058}{1 - (1.0058)^{-60}}\) \(EMI = 4,50,000 \times \frac{0.0058}{1 - 0.7068}\)…