Example
Let us consider the example of a customer buying a mobile phone worth ₹15,000 on No Cost EMI on a 3-month EMI period. The bank charges 15% interest per annum. Additionally, the bank may charge the customer GST on the interest.Month | Outstanding loan at the start of the month | EMI | Interest | Loan Principal Paid | Outstanding principal at the end of the month | GST on Interest at 18% | EMI + GST
1 | 14632.67 | 5000 | 182.91 | 4817.09 | 9815.58 | 32.92 | 5032.92
2 | 9815.58 | 5000 | 122.69 | 4877.31 | 4938.27 | 22.09 | 5022.09
3 | 4938.27 | 5000 | 61.73 | 4938.27 | Nil | 11.11 | 5011.11
Total | | 15000 | 367.33 | 14632.67 | | 66.12 | 15066.12Customers Pay GST on Interest
Calculation of EMI
EMI is generally calculated using the below formula:EMI = [P x R x (1+R)ᴺ]/[(1+R)ᴺ⁻¹]
where
P = Principal
R = Interest rate per month
N = Number of installations of the EMI
For No Cost EMI, the EMI value is calculated as A/N, where A is the price of the product.
From the above example, EMI is ₹15000/3 = ₹5000
We will replace this value in the above equation to calculate the value of P.
5000 = [P x (0.15/12) x (1+(0.15/12))³]/[(1+(0.15/12))³⁻¹]
P comes out to be ₹14632.67, and the discount borne by you is ₹367.33. This is equal to 2.45% of the original amount.