40% of 60% of \(\frac{3}{5}\) of a number is 504. What is 25% of \(\frac{2}{5}\) of that number?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 350
“Of” means multiply, so the chain of percentages and fractions is one single fraction of the number. Find the number first, then take the second fraction of it.
The whole chain as one fraction: \(40\%\times60\%\times\frac{3}{5}=0.4\times0.6\times0.6=0.144\)
This fraction of the number \(N\) is 504: \(0.144\times N=504\), so \(N=3500\)
25% of \(\frac{2}{5}\) of 3500: \(\frac{1}{4}\times1400=350\)