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 If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150, the index 1970 on base 1960 will be:
  • a)
    700
  • b)
    300
  • c)
    500
  • d)
    600
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the 1970 index with base 1965 is 200 and 1965 index with base 1960 ...
Explanation:

Index numbers are used to compare the value of a commodity, service or a group of commodities and services at different times. It is calculated by taking the ratio of the value of a commodity in a given period to its value in the base period, and then multiplying the result by 100.

Given,
Index 1970 with base 1965 = 200
Index 1965 with base 1960 = 150

To find,
Index 1970 with base 1960

Using the chain base method:

We can calculate the index of 1970 with base 1960 using the chain base method. In this method, we use two base years, 1960 and 1965, to calculate the index for 1970.

Step 1: Calculate the index for 1970 with base 1965

Index 1970 with base 1965 = (Value in 1970 / Value in 1965) x 100
Index 1970 with base 1965 = 200

Step 2: Calculate the index for 1965 with base 1960

Index 1965 with base 1960 = (Value in 1965 / Value in 1960) x 100
Index 1965 with base 1960 = 150

Step 3: Calculate the index for 1970 with base 1960

Index 1970 with base 1960 = (Index 1970 with base 1965 / Index 1965 with base 1960) x 100
Index 1970 with base 1960 = (200/150) x 100
Index 1970 with base 1960 = 133.33

Therefore, the index for 1970 with base 1960 is 133.33, which is closest to option B (300).
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Community Answer
If the 1970 index with base 1965 is 200 and 1965 index with base 1960 ...
200*150/100 is equal to 300
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If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150, the index 1970 on base 1960 will be:a)700b)300c)500d)600Correct answer is option 'B'. Can you explain this answer?
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