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The fair value of the machinery is ₹ 2,50,000.
The annual lease payments are ₹ 1,00,000 for 3 years.
The lessor expects to receive an unguaranteed residual value of ₹ 20,000 at the end of 3 years.
We need to find the discount rate (r) that equates the present value of these cash flows to the fair value:

Using a financial calculator or trial and error, we find that an interest rate of approximately 13% satisfies this equation.
At $r = 13\%$:
Present Value of Annuity = $1,00,000 \times \frac{1 - (1.13)^{-3}}{0.13} = 1,00,000 \times 2.3611492 = 2,36,114.92$
Present Value of Residual Value = $20,000 \times (1.13)^{-3} = 20,000 \times 0.6930506 = 13,861.01$
Total Present Value = $2,36,114.92 + 13,861.01 = 2,49,975.93 \approx 2,50,000$
Thus, the implicit interest rate is approximately 13%.

The lessee's lease liability is the present value of its lease payments and its guaranteed residual value.
Annual lease payments = ₹ 1,00,000 for 3 years.
Lessee's guaranteed residual value = ₹ 2,000 at the end of 3 years.
Using the implicit interest rate of 13%:
Present Value of Lease Payments = $1,00,000 \times 2.3611492 = 2,36,114.92$
Present Value of Lessee's Guaranteed Residual Value = $2,000 \times (1.13)^{-3} = 2,000 \times 0.6930506 = 1,386.10$
Total Lease Liability = $2,36,114.92 + 1,386.10 = 2,37,501.02$

Under Ind AS 116 / IFRS 16, the Right-of-Use (ROU) asset is initially measured at the amount of the initial lease liability, plus any initial direct costs, lease payments made at or before the commencement date, and estimated dismantling costs, and less any lease incentives. Since no other costs are mentioned, the ROU asset is recognized at the value of the lease liability.
ROU Asset = Lease Liability = ₹ 2,37,501.02

This value is closest to option (c) ₹ 2,37,400.

The final answer is $\text{₹ 2,37,400 approx}$