Z invested ₹2,40,000 at annual rate of interest of 10 per cent. What is the amount after 3 years if the compounding is done? Semi-annually.

Future Value with Semi-Annual Compounding Given: Principal (P) = ₹2,40,000 Annual Rate of Interest = 10% Number of years = 3 years Adjustments for Semi-Annual Compounding: Number of compounding periods (n) = Number of years × 2 = 3 × 2 = 6 periods Interest rate per period (i) = Annual Rate of Interest / 2 = 10% / 2 = 5% or 0.05 Formula for Future Value (FV) with Semi-Annual Compounding: FV n = P × (1 + i) n Calculation: FV 6 = 2,40,000 × (1 + 0.05) 6 FV 6 = 2,40,000 × (1.34009564) FV 6 = ₹3,21,622.95 The amount after 3 years with semi-annual compounding will be ₹3,21,622.95 (or approximately ₹3,21,624 using a rounded factor).