Two tailors \(X\) and \(Y\) are paid a total of \(Rs. 550\) per week by their employer. If \(X\) is paid \(120\) % of the sum paid to \(Y\), how much is \(Y\) paid per week?
Answer: B
The sum paid to \(Y\) per week be \(Rs. Z.\)
Then, \(Z + 120\) % of \(Z = 550.\)
\(\Rightarrow Z + \frac{120}{100}Z =550\)
\(\Rightarrow \frac{11}{5}Z = 550\)
\(\Rightarrow Z = (\frac{550 \times 5}{11}) = 250.\)