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If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be?
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If the 1970 index with base 1965 is 200 and 1965 index with base 1960 ...
**Index Numbers and Bases**
Index numbers are used to measure the changes in a particular variable over time. They provide a way to compare the value of a variable at different points in time relative to a base period. The base period is typically chosen as a reference point, and the index number for that period is set to a base value of 100.
In this question, we are given two index numbers: the index for the year 1970 with a base of 1965 is 200, and the index for the year 1965 with a base of 1960 is 150. We need to find the index for the year 1970 with a base of 1960.
**Calculating the Index**
To calculate the index for the year 1970 with a base of 1960, we need to consider the changes in both the reference year (1960) and the base year (1965) relative to the year 1970.
1. Calculate the change in the reference year:
- The index for 1965 with a base of 1960 is 150.
- This means that the value of the variable in 1965 is 150% of the value in 1960.
- To find the value in 1965, we divide the index by 100 and multiply by the value in the base year:
Value in 1965 = (150/100) * Value in 1960
2. Calculate the change in the base year:
- The index for 1970 with a base of 1965 is 200.
- This means that the value of the variable in 1970 is 200% of the value in 1965.
- To find the value in 1970, we divide the index by 100 and multiply by the value in the base year:
Value in 1970 = (200/100) * Value in 1965
3. Calculate the overall change from the base year to the reference year to the current year:
- The overall change from the base year to the reference year is the change in the reference year.
- The overall change from the reference year to the current year is the change in the base year.
- To calculate the overall change, we multiply the two changes together:
Overall change = Change in reference year * Change in base year
4. Calculate the index for the year 1970 with a base of 1960:
- To find the index for the year 1970 with a base of 1960, we divide the value in 1970 by the value in 1960 and multiply by 100:
Index for 1970 with a base of 1960 = (Value in 1970 / Value in 1960) * 100
**Solution**
1. Calculate the change in the reference year:
- Value in 1965 = (150/100) * Value in 1960
2. Calculate the change in the base year:
- Value in 1970 = (200/100) * Value in 1965
3. Calculate the overall change from the base year to the reference year to the current year:
- Overall change = Value in 1965 / Value in 1960 * Value in 1970 / Value in 1965
4. Calculate the index for the
Index numbers are used to measure the changes in a particular variable over time. They provide a way to compare the value of a variable at different points in time relative to a base period. The base period is typically chosen as a reference point, and the index number for that period is set to a base value of 100.
In this question, we are given two index numbers: the index for the year 1970 with a base of 1965 is 200, and the index for the year 1965 with a base of 1960 is 150. We need to find the index for the year 1970 with a base of 1960.
**Calculating the Index**
To calculate the index for the year 1970 with a base of 1960, we need to consider the changes in both the reference year (1960) and the base year (1965) relative to the year 1970.
1. Calculate the change in the reference year:
- The index for 1965 with a base of 1960 is 150.
- This means that the value of the variable in 1965 is 150% of the value in 1960.
- To find the value in 1965, we divide the index by 100 and multiply by the value in the base year:
Value in 1965 = (150/100) * Value in 1960
2. Calculate the change in the base year:
- The index for 1970 with a base of 1965 is 200.
- This means that the value of the variable in 1970 is 200% of the value in 1965.
- To find the value in 1970, we divide the index by 100 and multiply by the value in the base year:
Value in 1970 = (200/100) * Value in 1965
3. Calculate the overall change from the base year to the reference year to the current year:
- The overall change from the base year to the reference year is the change in the reference year.
- The overall change from the reference year to the current year is the change in the base year.
- To calculate the overall change, we multiply the two changes together:
Overall change = Change in reference year * Change in base year
4. Calculate the index for the year 1970 with a base of 1960:
- To find the index for the year 1970 with a base of 1960, we divide the value in 1970 by the value in 1960 and multiply by 100:
Index for 1970 with a base of 1960 = (Value in 1970 / Value in 1960) * 100
**Solution**
1. Calculate the change in the reference year:
- Value in 1965 = (150/100) * Value in 1960
2. Calculate the change in the base year:
- Value in 1970 = (200/100) * Value in 1965
3. Calculate the overall change from the base year to the reference year to the current year:
- Overall change = Value in 1965 / Value in 1960 * Value in 1970 / Value in 1965
4. Calculate the index for the
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If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be?
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If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be?.
If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150 the index 1970 base 1960 will be?.
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