The amount to which ₹5000 will accumulate at the effective rate of 4% for 4 years and 5% for 2 years is

₹6448

The correct answer is Option (3) → ₹6448 **

Formula:

$A = P(1+r_{1})^{t_{1}}(1+r_{2})^{t_{2}}$

Where:

$P = 5000$

$r_{1} = 0.04,\ t_{1} = 4$

$r_{2} = 0.05,\ t_{2} = 2$

So,

$A = 5000(1.04)^{4}(1.05)^{2}$

$A = 5000 \times 1.16985856 \times 1.1025$

$A \approx 6448.85$