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Application of Direct Proportionality

If the salary...

Question

If the salary of a person in the base year is Rs 4,000 per annum and the current year salary is Rs 6,000, by how much should his salary rise to maintain the same standard of living if the CPI is 400?

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Solution

Base CPI = Rs 100

Current CPI = Rs 400

Base Year Salary = Rs 4,000

Current Year Salary = Rs 6,000

$When Base C P I is Rs 100, then the salary is = Rs 4,000 When Base C P I is Rs 100, then the salary is = \frac{4, 000}{100} When Current C P I is Rs 400, then the salary should be = \frac{4, 000}{100} \times 400 = Rs 16, 000$
Thus, his salary should be Rs 16,000. Therefore, in the current year his salary should increase by Rs 10,000 (i.e. Rs 16,000 – Rs 6,000) so as to maintain the same level of living in the current year as that of the base year.

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