Divide ₹11,000 into two parts so that the simple interest on the first part at 6% per annum for 5 years equals the simple interest on the second part at 5% per annum for 4 years. What is the first part?

Explanation

1. 01

   Interest on first part = $a \times 6 \times 5 \div 100 = 30a \div 100$; on second part = $b \times 5 \times 4 \div 100 = 20b \div 100$.

2. 02

   $30a = 20b$, so $a : b = 2 : 3$.

3. 03

   First part = $\frac{2}{5} \times 11000$ = ₹4,400 (second part ₹6,600).