Two employees X and Y are paid a total of Rs. 580 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Choose the correct choice from the following answers
A) s . 263  B) s . 283  C) s . 293  D) s . 300  E) s . 383

Rationale: "let the amount paid to x per week = x and the amount paid to y per week = y then x + y = 580 but x = 120 % of y = 120 y / 100 = 12 y / 10 ∴ 12 y / 10 + y = 580 ⇒ y [ 12 / 10 + 1 ] = 580 ⇒ 22 y / 10 = 580 ⇒ 22 y = 5800 ⇒ y = 5800 / 22 = rs . 263 a )"
Answer: A