The various sections are indicated below in the circle diagram.
R: 170°
Q: 28°
S: 35°
P: 42°
T: 85°
P → Government sector employees
Q → Private sector employees
R → Self employed
S → Unemployed
T → Others
If the total population of the city is 1.8 lakh, the percentage of the total population that is employed in both the government and private sector is

Correct Answer: (C) 19 4/9%

Government sector employees (P) represent $42^$$\circ$ and private sector employees (Q) represent $28^$$\circ$, giving a combined angle of $42^$$\circ$ + 28^$\circ$ = 70^$\circ$. The percentage of the total population employed in both sectors is $\frac{{70}^{\circ }}{{360}^{\circ }}\times 100\mathrm{\%}=\frac{700}{36}\mathrm{\%}=\frac{175}{9}\mathrm{\%}=19\frac{4}{9}\mathrm{\%}$$\frac{70^\circ}{360^\circ}$ $\times$ 100\% = $\frac{700}{36}$\% = $\frac{175}{9}$\% = 19 $\frac{4}{9}$\%.