A construction company has three different sites located in the city. Analysis of the daily wages paid to the labourers in the three sites are as follows.
                                             Site 1      Site 2    Site 3
No. of labourers                    20        25         40
Average daily wages (Rs)    305     300       340
Standard deviation (Rs)       50       40          45
If the standard deviation of the wages of all the 85 labourers in the city is given by Rs $\sqrt{\frac{\mathrm{p}}{\mathrm{q}}}$, where $\mathrm{p},\mathrm{q}\in \mathrm{N},\mathrm{H}\cdot \mathrm{C}\cdot \mathrm{F}(\mathrm{p},\mathrm{q})=1$, then find the value of $\left[\frac{\mathrm{p}}{\mathrm{q}}-2362\right]$

(where [.] denotes the greatest integer function)