Solution:
i.). The household budget as per the below graph:
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ii.). Assuming the household splits its income equally between X and Y. The household will consume 150 units of good X and 60 units of good Y as indicated on the budget constraint graph:
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iii.). Suppose the household income increases to Rs.10,000, the quantity for Good X will increase to 500 while the quantity for Good Y will increase to 200 since the consumer will be able to afford more of both goods. The budget constraint curve will shift outwards as indicated on the graph:
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iv.). Good X is a normal good (luxury) since its demand increases more than proportionally as income increases, such that the expenditure of the good becomes a greater proportion of the overall spending.
Good Y is an inferior good since its demand has declined significantly as a result of income increase.
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