As per agreement with a bank, a businessman had to refund a loan in some equal instalments without interest. After paying 18 instalments he found that 60 percent of his loan was refunded. How many instalments were there in the agreement?

Let's look at this intuitively without writing complex equations.\n\n1. **Analyze the link:** We know that **18 instalments** cover **60%** of the loan.\n\n2. **Simplify the percentage:** Think of 60% in simple terms. \n - 60% is simply three-fifths (3/5) of the whole.\n - Or, simpler yet, 60% is made of three chunks of 20%.\n\n3. **Find the value of one chunk:** \n - If 60% (3 chunks) equals 18 instalments, then 1 chunk (20%) must be $18 \\div 3 = 6$ instalments.\n\n4. **Find the total:** \n - The full loan is 100% (which is 5 chunks of 20%).\n - So, Total = $6 \\text{ instalments} \\times 5 = 30$ instalments.\n\n**Sanity Check:** \nIf total is 30, then 10% is 3. 60% would be $3 \\times 6 = 18$. This matches the question perfectly.