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CBSE 2017 Class 12 Economics Delhi Set-2

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Question : 3 of 4
Marks: +1, -0
Assuming that increase in investment is 800\text{₹} 800 crore and marginal propensity to consume is 0.8 , explain the working of multiplier.
Solution:  
The working of multiplier can be explained as follows:
We are given that the value of MPC =0.8=0.8 and also that initial increase in investment is 800\text{₹} 800 crore. This implies that with every increase of 1\text{₹} 1 in the income, people consume 0.8 part of the increased income i.e, ., people consume 0.80\text{₹} 0.80and Save ₹ 0.20.
 Round  Increase in Investment Δ\Delta I  Change in Income ΔY\Delta Y  Induced Change in Consumption ΔC\Delta C  SavingsΔS\Delta S
 1  800  800  640  160
 2  ──  640  512  128
 3  ──  512  409.6  102.4
 4  ──  409.6  327.68  81.92
 5  ──  327.68  264.14  65.54
The table shows that initial increase in investment of 800\text{₹} 800 will lead to a change in income by 800\text{₹} 800 in the first round. As MPC is 0.8 , so people will consume 0.8 of the increased income (i.e. 640\text{₹} 640 ), thereby saving 160\text{₹} 160. This will be termed as leakage (as it is not ploughed back into the economy).
In the next round, due to the increase in the consumption expenditure by 640\text{₹} 640, there will be an increase in income 640\text{₹} 640. The people will again spend the increased income i.e. 512\text{₹} 512 and save the rest part of the income 128\text{₹} 128.
In the third round, similarly the increased consumption expenditure of 512\text{₹} 512 will cause a change in the income by 512\text{₹} 512. They will spend a part of this income on consumption i.e., 409.6\text{₹} 409.6 and will save the rest of the increased income 102.4\text{₹} 102.4.
This process will continue and the income will go on increasing as a result of increase in consumption. The total change (ΔY)=4000(\Delta Y)=\text{₹} 4000 (approx) and the change in the investment (ΔI)(\Delta I) will be 800 .
k  =  11MPCk\;=\;\frac{1}{1- MPC}
  =  ΔYΔI\;=\;\frac{\Delta Y}{\Delta I}
k  =  110.8k\;=\;\frac{1}{1-0.8}
=  ΔY800=\;\frac{\Delta Y}{800}
or,   10.2=  ΔY800\;\frac{1}{0.2}=\;\frac{\Delta Y}{800}
So, ΔY=4,000\Delta Y=4,000
Thus, we can observe that an initial increase in the investment by 800\text{₹} 800 crore results in increase of income and output by ₹ 4000 crore.
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