Question

The following table shows the population and worker population ratio for India in 1999-2000. Can you estimate the workforce (rural and urban) for India?

$\begin{array}{cccc}\text{Region}& \text{Estimates of}& \text{Worker Population}& \text{Estimated Number}\\ & \text{Population}& \text{Ratio}& \text{of Workers}\\ & \text{in crores}& & \text{(in crores)}\\ \text{Rural}& 71.88& 41.9& \frac{71.88}{100}\times 41.9=30.12\\ \text{Urban}& 28.52& 33.7& ?\\ \text{Total}& 100.40& 39.5& ?\end{array}$

Answer 1

Worker-population ratio $=\frac{\text{Number of Workers}}{\text{Total population}}\times 100$
Number of workers = $\frac{\text{Population}}{100}\times \text{Worker-population ratio}$

$\begin{array}{cccc}\text{Region}& \text{Estimates of}& \text{Worker Population}& \text{Estimated Number}\\ & \text{Population}& \text{Ratio}& \text{of Workers}\\ & \text{in crores}& & \text{(in crores)}\\ \text{Rural}& 71.88& 41.9& \frac{71.88}{100}\times 41.9=30.12\\ \text{Urban}& 28.52& 33.7& \frac{28.52}{100}\times 33.7=9.61124\\ \text{Total}& 100.40& 39.5& \frac{100.40}{100}\times 39.5=39.658\end{array}$