From January 1, 2021, the price of petrol (in Rupees per litre) on \(m^{th}\) day of the year is 80 + 0.1m, where m = 1, 2, 3, …, 100 and thereafter remains constant. On the other hand, the price of diesel (in Rupees per litre) on \(n^{th}\) day of 2021 is 69 + 0.15n for any n. On which date in the year 2021 are the prices of these two fuels equal?