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CAT 2019 Quant Question with Solution 59

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?

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Correct Answer: 12

Let the number of hours for regular and overtime work be x and y respectively.

We have two equations:

$x\text{ }+\text{ }y\text{ }=172...(1)$

$\text{114}y\text{ }=\frac{15}{100}\times 57x...(2)$

On solving both the equations, we get x = 160 and y 12.

Hence, his overtime work =12 hours

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