$$\frac{5}{9}$$ of a number is equal to twenty five percent of second number. Second number is equal to $$\frac{1}{4}$$ of third number. The value of third number is 2960. What is 30% of first number ?

A. 99.9

B. 88.8

C. 77.7

D. None of these

Answer: Option A

Solution(By Examveda Team)

Let the third number be 2960
∵ Second number = $$\frac{1}{4}$$ of the third number = $$\frac{1}{4}$$ × 2960 = 740
$$\frac{5}{9}$$ of first number = 25% of second number
$$\frac{5}{9}$$ first number = $$\frac{25 × 740}{100}$$  = 185
⇒ First number = $$\frac{185 × 9}{5}$$  = 333
∴ 30% of 333 = $$\frac{30}{100}$$ × 333 = 99.9