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Question 50 of 104

Q.(i) If in an economy, the value of Investment Multiplier is 5 and dissavings are (–)100 crore, the relevant savings at income level of ₹ 1,400 crore would be ₹ _______ crore. (Choose the correct alternative to fill up the blank) (A) 80 (B) 180 (C) 140 (D) 240

(OR)
(ii) The range of value of Investment Multiplier is always between _____ and _____. (Choose the correct alternative to fill up the blanks) (A) zero (0), infinity (∞) (B) one (+ 1), infinity (∞) (C) zero (0), one (+ 1) (D) minus one (– 1), plus one (+ 1)
Nagaland NbseCBSE Class XII Board 2023MCQ· 1mImportance★★★★★
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  • Part (a): K=5⇒MPS=0.2K=5 \Rightarrow \text{MPS}=0.2; S=−100+0.2YS=-100+0.2Y; at Y=1400Y=1400, S=₹180S=\text{₹}180 crore — Option (B).
  • Part (b): K=1/(1−MPC)K = 1/(1-\text{MPC}) with 0≤MPC<10\le \text{MPC}<1, so KK lies between 1 and infinity — Option (B).

Part (a)

The investment multiplier is K=1MPSK = \dfrac{1}{\text{MPS}}. Given K=5K = 5:

5=1MPS  ⇒  MPS=0.25 = \frac{1}{\text{MPS}} \;\Rightarrow\; \text{MPS} = 0.2

"Dissavings are (−)100 crore" means that at zero income, saving is −100-100 — this is the autonomous saving (the intercept). The saving function is:

S=−100+MPS⋅Y=−100+0.2YS = -100 + \text{MPS}\cdot Y = -100 + 0.2Y

At Y=1400Y = 1400:

S=−100+0.2×1400=−100+280=180S = -100 + 0.2 \times 1400 = -100 + 280 = 180 …

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