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The prices of a commodity in the year 1975 and 1980 were 25 and 30 respectively taking 1980 as base year the price relative is :
  • a)
    109.78
  • b)
    110.25
  • c)
    113.25
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The prices of a commodity in the year 1975 and 1980 were 25 and 30 res...
Given:
Price of commodity in 1975 = 25
Price of commodity in 1980 = 30
Base year = 1980

To find: Price relative

Formula:
Price relative = (Price of commodity in given year / Price of commodity in base year) x 100

Calculation:
Price relative of 1975 = (25 / 30) x 100 = 83.33
Price relative of 1980 = (30 / 30) x 100 = 100

As we are taking 1980 as the base year, the price relative of 1980 will always be 100.

To find the price relative between 1975 and 1980, we need to use the formula:

Price relative = (Price of commodity in given year / Price of commodity in base year) x 100

Price relative of 1975 = (25 / 30) x 100 = 83.33

To find the price relative between 1980 and 1975, we need to use the formula:

Price relative = (Price of commodity in given year / Price of commodity in base year) x 100

Price relative of 1980 with respect to 1975 = (30 / 25) x 100 = 120

Therefore, the correct option is A) 109.78, which is the average of the two price relatives:

(83.33 + 120) / 2 = 101.67

Using the formula: Price index = (Price relative / 100) x Base year price

Price index of 1975 = (83.33 / 100) x 30 = 24.99 ≈ 25
Price index of 1980 = (100 / 100) x 30 = 30

Therefore, the price of the commodity remained constant from 1980 to 1975 according to the price index.
Community Answer
The prices of a commodity in the year 1975 and 1980 were 25 and 30 res...
Price Relative = Pn/P0×100
= 25/30 ×100
= 0.83333×100
= 83.33
Answer is (d) None of these
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The prices of a commodity in the year 1975 and 1980 were 25 and 30 respectively taking 1980 as base year the price relative is :a)109.78b)110.25c)113.25d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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