If the value of Investment Multiplier is 5 and the increased income is 800 crore in an economy, then find the value of change in the investment in the economy.

The correct option is 160 crore.

To find the value of change in the investment in the economy, we can use the formula for the investment multiplier (k):
$$k=\frac{\Delta Y}{\Delta I}$$
where:
- k is the investment multiplier,
- ΔY is the change in income (increased income),
- ΔI is the change in investment.

From the given data:
- Investment Multiplier (k) = 5
- Increased Income (ΔY) = 800 crore

Substituting these values into the multiplier formula:
$$5=\frac{800}{\Delta I}$$

Rearranging the equation to solve for ΔI:
$$\Delta I=\frac{800}{5}$$
$$\Delta I=160$$
Therefore, the value of the change in investment in the economy is 160 crore.