Question

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}

• A. 2.5 %
• B. 15.8 %
• C. 18.3 %
• D. 6.25 %
• A. Literacy, 1971-72
• B. Price, 2001-02
• C. Per Capita Income, 1981-82
• D. Price, 1971-72
• A. 1971-72
• B. 2001-02
• C. 1981-82
• D. 1991-92
• A. 124.1, 313.8, 200
• B. 313.8, 124, 201
• C. 313.8, 124.1, 190
• D. 124.1, 313.8, 194

Answer 1

The Correct Option is C

- 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).

Answer 2

- From the graph, we can see the largest increase in the price index between 1971-72 and 1981-82. Thus, the correct answer is (D).

Answer 3

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).

Answer 4

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.