The Investment Multiplier (\(k\)) is a concept that quantifies the effect of an increase in investment on the national income. It is given by the formula:
\(k = \frac{\Delta Y}{\Delta I}\)
where \(\Delta Y\) is the change in national income and \(\Delta I\) is the change in investment. Given:
- Investment Multiplier (\(k\)) = 5
- Increase in national income (\(\Delta Y\)) = ₹800 crore
We need to find the corresponding increase in investment (\(\Delta I\)). Rearranging the formula for the Investment Multiplier, we get:
\(\Delta I = \frac{\Delta Y}{k}\)
Substitute the given values:
\(\Delta I = \frac{800}{5}\)
\(\Delta I = 160\)
Thus, the corresponding increase in investment is ₹160 crore.