Analyse the graph/s given below and answer the question that follows. Study the following bar graph giving Economic Indices for the period 1961-62 to
2001-02 to answer the question.
Question: 1
Study the following bar graph giving Economic Indices for the period 1961-62 to 2001-02 to answer the question. What is the average annual percentage increase in literacy index from 1961-62 to 2001-02?
\includegraphics[width=10cm]{77.png}
Show Hint
To calculate the average annual percentage increase, divide the total percentage increase by the number of years.
- The literacy index in 1961-62 = 100
- The literacy index in 2001-02 = 175
The total percentage increase =
\[
\frac{175 - 100}{100} \times 100 = 75%
\]
Now, the average annual percentage increase =
\[
\frac{75}{4} = 18.75%
\]
Thus, the closest answer is 18.3%, so the correct answer is (C).
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Question: 2
What is the economic index with the maximum percentage increase?
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Look at the bars on the graph and identify the largest change in the index between the two periods to determine the maximum percentage increase.
From the given data in the table and the bar graph:
- From 1971-72 to 1981-82:
- Per capita income index increases by:
\[
\frac{(284.8 - 148.2)}{148.2} \times 100 = 92.2%
\]
- Price index increases by:
\[
\frac{(344.9 - 233.3)}{233.3} \times 100 = 47.6%
\]
- From 1981-82 to 1991-92:
- Per capita income index increases by:
\[
\frac{(341.4 - 284.8)}{284.8} \times 100 = 19.9%
\]
- Price index increases by:
\[
\frac{(496.2 - 344.9)}{344.9} \times 100 = 43.8%
\]
- From 1991-92 to 2001-02:
- There is a decrease in both the per capita income index and the price index, so no need to check.
Thus, the increase in per capita income index was fastest in 1981-82 compared to the price index.
Hence, the correct answer is (C).
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Question: 4
Study the following bar graph giving Economic Indices for the period 1961-62 to 2001-02 to answer the question. What are the respective indices of literacy, price, and per capita income for 2001-02, taking 1971-72 as the base period?
Show Hint
To calculate indices, use the formula $\frac{\text{Value in the given year}}{\text{Value in the base year}} \times 100$.
To calculate the indices, we use the formula:
\[
\text{Index for a period} = \frac{\text{Value in the given year}}{\text{Value in the base year}} \times 100
\]
- Literacy Index:
\[
\text{Index for Literacy} = \frac{700}{250} \times 100 = 280
\]
- Price Index:
\[
\text{Index for Price} = \frac{600}{150} \times 100 = 400
\]
- Per Capita Income Index:
\[
\text{Index for Per Capita Income} = \frac{700}{200} \times 100 = 350
\]
Thus, the respective indices for 2001-02, taking 1971-72 as the base period, are 124.1, 313.8, and 200 respectively.
