RRB Paramedical Staff Nurse Model Paper 7

Total money =Rs 1200 Time taken by first to complete the work $=8$ days Thus one day work of first person $=\;\frac{1}{8}$ Similarly, One day work of second person $=\;\frac{1}{12}$ One day work of third person $=\;\frac{1}{16}$ Let fourth person does the work in $x$ days Then, according to the question, $\;\frac{1}{8}+\;\frac{1}{12}+\;\frac{1}{16}+\;\frac{1}{x}=\;\frac{1}{3}$ $\Rightarrow \frac{1}{x}=\;\frac{1}{3}-\;\frac{1}{8}-\;\frac{1}{12}-\;\frac{1}{16}$ $\Rightarrow \frac{1}{x}=\;\frac{16-6-4-3}{48}$ $=\frac{3}{48}=\frac{1}{16}$ $\Rightarrow x=16$ Now, ratio of work done by first, second, third and fourth persons $=\frac{1}{8}:\frac{1}{12}:\frac{1}{16}:\frac{1}{16}$ $=6: 4: 3: 3$ (taking LCM) So, amount got by fourth person $=\;\frac{3}{16} \times 1200 = \text{Rs}\, .225$