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15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.?
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15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, fa...
Index Calculation for 1996:
To calculate the index number for 1996, we need to consider the percentage changes in the index from the base year (1992) to each subsequent year (1993, 1994, 1995, and 1996). Let's break down the calculation step by step:
Step 1: Calculate the index for 1993:
The index for 1993 can be calculated by multiplying the index for the base year (1992) by the percentage change in 1993 (15% increase).
Index for 1993 = Index for 1992 * (1 + 15/100)
Step 2: Calculate the index for 1994:
The index for 1994 can be calculated by multiplying the index for 1993 by the percentage change in 1994 (4% decrease).
Index for 1994 = Index for 1993 * (1 - 4/100)
Step 3: Calculate the index for 1995:
The index for 1995 can be calculated by multiplying the index for 1994 by the percentage change in 1995 (2% decrease).
Index for 1995 = Index for 1994 * (1 - 2/100)
Step 4: Calculate the index for 1996:
The index for 1996 can be calculated by multiplying the index for 1995 by the percentage change in 1996 (10% increase).
Index for 1996 = Index for 1995 * (1 + 10/100)
Now, let's calculate the index numbers for each year using the given information:
Index for 1992 = 100 (given)
Index for 1993 = 100 * (1 + 15/100) = 100 * 1.15 = 115
Index for 1994 = 115 * (1 - 4/100) = 115 * 0.96 = 110.4
Index for 1995 = 110.4 * (1 - 2/100) = 110.4 * 0.98 = 107.952
Index for 1996 = 107.952 * (1 + 10/100) = 107.952 * 1.1 = 118.7472
Therefore, the index number for 1996 is approximately 118.7472.
To calculate the index number for 1996, we need to consider the percentage changes in the index from the base year (1992) to each subsequent year (1993, 1994, 1995, and 1996). Let's break down the calculation step by step:
Step 1: Calculate the index for 1993:
The index for 1993 can be calculated by multiplying the index for the base year (1992) by the percentage change in 1993 (15% increase).
Index for 1993 = Index for 1992 * (1 + 15/100)
Step 2: Calculate the index for 1994:
The index for 1994 can be calculated by multiplying the index for 1993 by the percentage change in 1994 (4% decrease).
Index for 1994 = Index for 1993 * (1 - 4/100)
Step 3: Calculate the index for 1995:
The index for 1995 can be calculated by multiplying the index for 1994 by the percentage change in 1995 (2% decrease).
Index for 1995 = Index for 1994 * (1 - 2/100)
Step 4: Calculate the index for 1996:
The index for 1996 can be calculated by multiplying the index for 1995 by the percentage change in 1996 (10% increase).
Index for 1996 = Index for 1995 * (1 + 10/100)
Now, let's calculate the index numbers for each year using the given information:
Index for 1992 = 100 (given)
Index for 1993 = 100 * (1 + 15/100) = 100 * 1.15 = 115
Index for 1994 = 115 * (1 - 4/100) = 115 * 0.96 = 110.4
Index for 1995 = 110.4 * (1 - 2/100) = 110.4 * 0.98 = 107.952
Index for 1996 = 107.952 * (1 + 10/100) = 107.952 * 1.1 = 118.7472
Therefore, the index number for 1996 is approximately 118.7472.
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15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.?
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15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.? 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 15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.?.
15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.? 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 15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 An index is 100 in 1992. It rises 15% in 1993, falls 4% in 1994, falls 2% in 1995, and rises 10% in 1996. Calculate the index number for 1996.?.
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