A person gives $$\frac{1}{4}$$ of his property to his daughter, $$\frac{1}{2}$$ to his sons and $$\frac{1}{5}$$ for charity. How much has he given away ?

A. $$\frac{1}{20}$$

B. $$\frac{19}{20}$$

C. $$\frac{1}{10}$$

D. $$\frac{9}{10}$$

Answer: Option B

Solution(By Examveda Team)

Let the property is 'P' units
According to the question,
Given part,
$$\eqalign{ & = \frac{1}{4}P + \frac{1}{2}P + \frac{1}{5}P \cr & = \frac{{5P + 10P + 4P}}{{20}} \cr & = \frac{{19}}{{20}}P \cr} $$
Part of property given away $$\frac{19}{{20}}$$