CUET · MATHS · PYQ PAPER 2025

Mr. X wishes to purchase a flat for Rs. \(44,65,000\) with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years.
If the bank charges \(6 \%\) per annum compounded monthly, the EMI is :
[Given: \((1.005)^{300}=4.465\)]

A Rs. 25,772
B Rs. 28,775
C Rs. 22,325
D Rs. 30,550

Verified Solution

Answer & Solution

Correct Answer

(C) Rs. 22,325

Step-by-step Solution

Detailed explanation

Loan Amount \((P) = 44,65,000 - 10,00,000 = 34,65,000\) Monthly Rate \((r) = 6\% / 12 = 0.5\% = 0.005\) Number of Installments \((n) = 25 \times 12 = 300\) EMI \(= P \times \frac{r(1+r)^n}{(1+r)^n - 1}\) EMI…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Mr. X wishes to purchase a flat for Rs. \(44,65,000\) with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years.If the bank charges \(6 \%\) per annum compounded monthly, the EMI is : [Given: \((1.005)^{300}=4.465\)]

Step-by-step Solution

Mr. X wishes to purchase a flat for Rs. \(44,65,000\) with a down payment of Rs. 10,00,000 and balance in equated monthly installments (EMI) for 25 years.
If the bank charges \(6 \%\) per annum compounded monthly, the EMI is :
[Given: \((1.005)^{300}=4.465\)]