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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?

Rs. 200
Rs. 250
Rs. 300
None of these
Explanation:

Let the sum paid to Y per week be Rs. $ z $.

Then, $ z $ + 120% of $ z $ = 550.

$\Rightarrow z $ +$ \dfrac{120}{100} z $ = 550

$\Rightarrow \dfrac{11}{5} z $ = 550

$\Rightarrow z $ =$ \left(\dfrac{550 \times 5}{11} \right) $  = 250.

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