40% of 60% of $$\frac{3}{5}$$th of a number is 504. What is 25% of $$\frac{2}{5}$$th of that number ?

A. 175

B. 180

C. 350

D. 360

E. None of these

Answer: Option C

Solution(By Examveda Team)

Let the number be x
Then, 40% of 60% of $$\frac{3}{5}$$ of x = 504
⇒ $$\frac{40}{100}$$ × $$\frac{60}{100}$$ × $$\frac{3}{5}$$ × x = 504
⇒ $$\frac{18}{125}$$x = 504
⇒ x = $$\frac{504 × 125}{18}$$
⇒ x = 3500
∴ 25% of $$\frac{2}{5}$$ of 3500 :
= $$\frac{25}{100}$$ × $$\frac{2}{5}$$ × 3500
= 350