Question

X gets $25\%$ more than Y and Y gets $20\%$ more than Z. The share of Z out of a sum of Rs.$740$ is.

• A. Rs.$200$
• B. Rs.$300$
• C. Rs.$250$
• D. Rs.$350$

Answer 1

The correct option is A Rs.$200$

Let the share of Z be $m$

Then Y gets $\frac{120}{100}\times m=1.2m$

And X gets $\frac{125}{100}\times 1.2m=1.5m$

Then, $x+y+z$ gets $1.5m+1.2m+m=3.7m$

But total share is Rs. $740$

$\therefore 3.7m=740$

$\Rightarrow m=200$

Then, share of Z is Rs. $200$