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When the cost of Tobacco was increased by 50%, a certain hardened smoker, who maintained his formal scale of consumption, said that the rise had increased his cost of living by 5%. Before the change in price, the percentage of his cost of living was due to buying Tobacco is
  • a)
    15%
  • b)
    8%
  • c)
    10%
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
When the cost of Tobacco was increased by 50%, a certain hardened smok...
Explanation:

Let's assume that before the change in price, the hardened smoker spent Rs. x on his cost of living, out of which he spent Rs. y on buying tobacco. Thus, the percentage of his cost of living due to buying tobacco would be (y/x) * 100%.

After the cost of tobacco increased by 50%, the smoker maintained his formal scale of consumption and continued to spend Rs. y on buying tobacco. Therefore, his total cost of living increased to Rs. 1.5y.

Using the information given in the question, we can set up the following equation to solve for the initial percentage of the smoker's cost of living due to buying tobacco:

y/x * 100% + 5% = y/(1.5y) * 100%

Simplifying this equation, we get:

y/x + 0.05 = 2/3

y/x = 0.1

Therefore, the initial percentage of the smoker's cost of living due to buying tobacco was 10%, which corresponds to option (c).

Final Answer: Option C
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When the cost of Tobacco was increased by 50%, a certain hardened smoker, who maintained his formal scale of consumption, said that the rise had increased his cost of living by 5%. Before the change in price, the percentage of his cost of living was due to buying Tobacco isa)15%b)8%c)10%d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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