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

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

Answer 1

Answer: (D)

Rs 180

Let Z have Rs X. Then,
Y has 150% of Rs X = Rs $\frac{150X}{100}=Rs\frac{3X}{2}$
X has 2 x Rs $\frac{3X}{2}$ = Rs 3X
Given, $\frac{X+\frac{3X}{2}+3X}{3}=10$
$\Rightarrow \frac{2X+3X+6X}{2}=330$
$\Rightarrow 11X=660\Rightarrow x=60$
$\therefore$ Amount that X has = 3 x 60 = Rs 180