Sameer lent equal sums of money at $5\frac{1}{2}$ percent and $4$ percent per annum respectively for a period of $3$ years. If he earned $₹72$ more for the money lent out at $5\frac{1}{2}\%$, if the sum of money is $₹k$, then, find the value of $k$ lent at $4\%.$