हिंदी

The Cost of Living Index Numbers for years 2003 and 2008 are 150 and 200 respectively. A person earned ₹ 18,000 per month in year 2003. What should be his earning per month in year 2008, so as to - Mathematics and Statistics

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प्रश्न

The Cost of Living Index Numbers for years 2003 and 2008 are 150 and 200 respectively. A person earned ₹ 18,000 per month in year 2003. What should be his earning per month in year 2008, so as to maintain same standard of living as 2003?

योग

उत्तर

For the year 2003,

CLI = 150 and income = ₹ 18,000

Now, Real income = `"Income"/"CLI" xx 100`

= `18000/150 xx 100`

= 120 × 100

= ₹ 12,000

For the year 2008,

CLI = 200

If standard of living is to be maintained, real income in the year 2008 should also be ₹ 12,000

Real income = `"Income"/"CLI" xx 100`

∴ 12000 = `"Income"/"CLI" xx 100`

∴ Income = 12,000 × 2

= ₹ 24,000

∴ In order to maintain same order of living as in the year 2003, income in 2008 should be ₹ 24,000.

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अध्याय 2.5: Index Numbers - Q.4
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