If A lends Rs. 4500 to B at 8% per annum and B lends the same sum to C at 10%…

Step-by-Step Solution

To calculate B's gain, we determine the interest B receives from C and subtract the interest B must pay to A.

1. Calculate interest B pays to A:

   • Principal (P) = Rs. 4500

   • Rate (R1) = 8% p.a.

   • Time (T) = 3 years

   • Interest Paid = (P * R1 * T) / 100

   • Interest Paid = (4500 * 8 * 3) / 100 = 45 * 24 = Rs. 1080.

2. Calculate interest B receives from C:

   • Principal (P) = Rs. 4500

   • Rate (R2) = 10% p.a.

   • Time (T) = 3 years

   • Interest Received = (P * R2 * T) / 100

   • Interest Received = (4500 * 10 * 3) / 100 = 45 * 30 = Rs. 1350.

3. Calculate the net gain of B:

   • Gain = Interest Received - Interest Paid

   • Gain = 1350 - 1080 = Rs. 270.