A bank charges simple interest for ₹K at the rate of r^(1/2) for n² years. Another bank charges simple interest for ₹L at the rate of r^(2) for n^(1/3) years and gives the same interest. The ratio between K and L is:
A.r^(1/2) : n^(1/2)
B.r n : 1
C.1/r : 1/n✓ Correct
D.r² : n²
Explanation
SI = PRT/100. For both banks giving same interest: K × r^(1/2) × n² = L × r² × n^(1/3). So K/L = r² × n^(1/3) / (r^(1/2) × n²) = r^(3/2) / n^(5/3). Simplifying: K:L = 1/r : 1/n in the given format matches option (d).
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