Microeconomics doubt

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Microeconomics doubt

Nikkita
Ques: Goods 1 and 2 are perfect complements and a consumer always consumes them in the ratio of 2 units of Good 2 per unit of Good 1. If a consumer has income 120 and if the price of good 2 changes from 3 to 4,
while the price of good 1 stays at 1, then the income effect of the price change
(a) is 4 times as strong as the substitution effect.
(b) does not change demand for good 1.
(c) accounts for the entire change in demand.
(d) is exactly twice as strong as the substitution effect.
(e) is 3 times as strong as the substitution effect.

Ans: U= min(x,2y), s.t. x+3y=120
So, x=24, y=48
Now, change in m= 48*1=48
Substitution effect=4
Income effect=-8
So, answer (d).

Am I correct?? Please reply.
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Re: Microeconomics doubt

varnika1880
Ans should be c
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Re: Microeconomics doubt

Nikkita
How??
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Re: Microeconomics doubt

Dreyfus
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Re: Microeconomics doubt

Rootz
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Since the goods are perfect complements, there won't be substitution effect. Hence the entire change in demand is due to income effect.