Question

Akshay had a certain amount of money. He gave $\frac{1}{2}$ of the money to his best friend, $\frac{1}{4}$ of the money to his sister, $\frac{1}{8}$ of the money to his brother and $\frac{1}{16}$ of the money to his dad. The amount of money left with him is Rs. $125$. How much money was with him at first?

• A. Rs. $2000$
• B. Rs. $1875$
• C. Rs. $1000$
• D. Rs. $2800$

Answer 1

The correct option is A Rs. $2000$

Total Money Akshay had $=$ $X$

Money given to best friend $=$ $\frac{X}{2}$

Money given to sister $=$ $\frac{X}{4}$

Money given to brother $=$ $\frac{X}{8}$

Money given to dad $=$ $\frac{X}{16}$

Total money given $=$ $\frac{X}{2}$ $+$ $\frac{X}{4}$$+$ $\frac{X}{8}$ $+$ $\frac{X}{16}$ $=$ $\frac{15X}{16}$

$X$ $=$ $\frac{15X}{16}$ $+$ Money Left

Money Left $=$ $125$

$\frac{X}{16}$ $=$ $125$

$X$ $=$ $2000$