If \(40\)% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
Answer: C
Let \(40\)% of \(A = \frac{2}{3} B\)
Then, \(\frac{40A}{100} = \frac{2B}{3}\)
\(\Rightarrow \frac{2A}{5} = \frac{2B}{3}\)
\(\Rightarrow \frac{A}{B} = (\frac{2}{3} \times \frac{5}{2}) = \frac{5}{3}\)
\(\therefore A : B = 5 : 3.\)