Percentage problem 1 by Dhaval Furia

Algebra Level pending

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


The answer is 12.

Dhaval Furia by Dhaval Furia , 26, India

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1 solution

Let John works for r r hours on regular basis and 172 − r 172-r hours overtime. Then

114 ( 172 − r ) 57 r = 15 100 ⟹ r = 160 \dfrac{114(172-r)}{57r}=\dfrac{15}{100}\implies r=160 hours and 172 − r = 12 172-r=\boxed {12} hours.

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