Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{sum}}\,{\text{paid}}\,{\text{to}}\,{\text{y}}\,{\text{per}}\,{\text{week}}\,{\text{be}}\,Rs.\,z \cr & {\text{Then}},\,z + 120\% \,of\,z = 550 \cr & \Rightarrow z + \frac{{120}}{{100}}z = 550 \cr & \Rightarrow \frac{{11}}{5}z = 550 \cr & \Rightarrow z = {\frac{{550 \times 5}}{{11}}} = 250 \cr} $$