Question

Priya worked as an intern for $5days$, working $3\frac{1}{4}hours,5\frac{1}{2}hours,4\frac{1}{6}hours,7\frac{1}{3}hours,5\frac{1}{3}hours$ each day. How much did she earn in $5days$ at the rate of $₹20\frac{1}{4}perhour$ $?$

Answer 1

Total number of working hours in $5days$

$$\begin{gathered} =3\frac{1}{4}+5\frac{1}{2}+4\frac{1}{6}+7\frac{1}{3}+5\frac{1}{3} \\ =\frac{13}{4}+\frac{11}{2}+\frac{25}{6}+\frac{22}{3}+\frac{16}{3} \\ =\frac{39+66+50+88+64}{12} \\ =\frac{307}{12}hours \end{gathered}$$ $($∵ LCM of$4,2,6,3$ is $12)$

Now,

Cost of 1 hour $=₹20\frac{1}{4}=\frac{81}{4}$

Cost of $\frac{307}{12}hours=\frac{307}{12}\times \frac{81}{4}=518.06$

Hence, she earn $₹518.06$ in $5days$ at the rate of $₹20\frac{1}{4}perhour$ .