Question

$X$ has twice as much money as that of $Y$ and $Y$ has $50$% more money than that of $Z$. If the average money of all of them is Rs. $110$, then the money, which $X$ has is:

• A. Rs. $55$
• B. Rs. $60$
• C. Rs. $90$
• D. Rs. $180$

Answer 1

The correct option is D Rs. $180$

Let z have Rs x.

$y\Rightarrow x+\frac{50}{100}x=\frac{150x}{100}Rs.$

$x\Rightarrow 2\times \frac{150x}{100}\Rightarrow \frac{300x}{100}$

AVG. Money = $\frac{x+\frac{150x}{100}+\frac{300x}{100}}{3}=110$

$4x+\frac{15x}{10}=330$

$40x+15x=330$

$55x=3300$

$x=\frac{3300}{55}300\Rightarrow x=60$

$x\Rightarrow 3x=180$ Rs.