Solid waste generated from an industry contains only two components, $\mathrm{X}$ and $\mathrm{Y}$ as shown in the table below $\begin{array}{ccc}\text { Component } & \begin{array}{c}\text { Composition } \\ (\% \text { weight })\end{array} & \begin{array}{c}\text { Density } \\ \left(\mathrm{kg} / \mathrm{m}^{3}\right)\end{array} \\ \mathrm{X} & \mathrm{c}_{1} & \rho_{1} \\ \mathrm{Y} & \mathrm{c}_{2} & \rho_{2}\end{array}$ Assuming $\left(\mathrm{c}_{1}+\mathrm{c}_{2}\right)=100,$ the composite density of the solid waste $(\rho)$ is given by:
(A) $\frac{100}{\left(\frac{c_{1}}{\rho_{1}}+\frac{c_{2}}{\rho_{2}}\right)}$
(B) $100\left(\frac{\rho_{1}}{c_{1}}+\frac{\rho_{2}}{c_{2}}\right)$
(C) $100\left(\mathrm{c}_{1} \rho_{1}+\mathrm{c}_{2} \rho_{2}\right)$
(D) $100\left(\frac{\rho_{1} \rho_{2}}{c_{1} \rho_{1}+c_{2} \rho_{2}}\right)$
Solid waste generated from an industry contains only two components, $\mathrm{X}$ and $\mathrm{Y}$ as shown in the table below $\begin{array}{ccc}\text { Component } & \begin{array}{c}\text { Composition } \\ (\% \text { weight })\end{array} & \begin{array}{c}\text { Density } \\ \left(\mathrm{kg} / \mathrm{m}^{3}\right)\end{array} \\ \mathrm{X} & \mathrm{c}_{1} & \rho_{1} \\ \mathrm{Y} & \mathrm{c}_{2} & \rho_{2}\end{array}$ Assuming $\left(\mathrm{c}_{1}+\mathrm{c}_{2}\right)=100,$ the composite density of the solid waste $(\rho)$ is given by:
(A) $\frac{100}{\left(\frac{c_{1}}{\rho_{1}}+\frac{c_{2}}{\rho_{2}}\right)}$
(B) $100\left(\frac{\rho_{1}}{c_{1}}+\frac{\rho_{2}}{c_{2}}\right)$
(C) $100\left(\mathrm{c}_{1} \rho_{1}+\mathrm{c}_{2} \rho_{2}\right)$
(D) $100\left(\frac{\rho_{1} \rho_{2}}{c_{1} \rho_{1}+c_{2} \rho_{2}}\right)$
$\frac{100}{\left(\frac{c_{1}}{\rho_{1}}+\frac{c_{2}}{\rho_{2}}\right)}$