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 & explanation
Correct answer: option 2
The correct answer is Option (2) → Rs 250
120% of Y’s pay is 1.2 times it, so together they get 2.2 times Y’s pay.
X \(=1.2Y\), so \(X+Y=2.2Y=550\)
\(\displaystyle Y=\frac{550}{2.2}=250\)
(X \(=1.2\times250=300\); and \(300+250=550\))
Y is paid Rs 250 per week.
Why the other options are incorrect
Option (1) Rs 200 — Incorrect. Then X would get Rs 240 and the total would be only Rs 440.
Option (3) Rs 300 — Incorrect. This is what X is paid, not Y.
Option (4) None of these — Incorrect. Rs 250 is offered in Option (2).