- From the given pie chart, the percentage of the total value for History books in the Book Section is \( 10% \) of Rs. 146 lakh.
- The value of History books is:
\[
\frac{10}{100} \times 146 = 14.6 \, \text{lakh}
\]
- From the pie chart for the Magazine Section, the percentage of the total value for Film magazines is \( 14% \) of Rs. 28 lakh.
- The value of Film magazines is:
\[
\frac{14}{100} \times 28 = 3.92 \, \text{lakh}
\]
- The difference in value is:
\[
14.6 - 3.92 = 10.68 \, \text{lakh}
\]
- To find by how much percentage the value of History books is higher, we calculate the percentage difference relative to the value of Film magazines:
\[
\frac{10.68}{3.92} \times 100 \approx 272%
\]
Thus, the correct answer is 272%.
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Question: 2
Which of the following statements is false?
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Always calculate the percentage values for each category to make comparisons, and check the calculations for accuracy.
Literature, Mathematics, and Science group comprise nearly 50% of the book section.
Sports, Culture, and Film account for more than half of the magazines.
The value of Sports magazines is higher than that of Geography books.
None of these
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The Correct Option isD
Solution and Explanation
- For option (1) and (2), these can be clearly observed from the pie charts.
- For option (3), the value of Sports magazines can be calculated as:
\[
24% \text{ of Rs. 28 lakh} = 6.72 \text{ lakh}
\]
Also, the value of Geography books is:
\[
4% \text{ of Rs. 146 lakh} = 5.84 \text{ lakh}
\]
Clearly, the value of Sports magazines is more than that of Geography books.
Thus, all the statements are true, so the answer is (D) None of these.
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Question: 3
What is the invested amount for literature as a percentage of the total investment of the library in books and magazine section?
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To find the percentage of an amount in relation to a total, divide the part by the total and multiply by 100.
- The value of Literature in the Book Section is \( 20% \) of Rs. 146 lakh:
\[
\frac{20}{100} \times 146 = 29.2 \, \text{lakh}
\]
- The total investment in the Book Section and Magazine Section is Rs. 146 lakh + Rs. 28 lakh = Rs. 174 lakh.
- To find the percentage of Literature’s investment in the total library investment:
\[
\frac{29.2}{174} \times 100 \approx 16.8%
\]
Thus, the correct answer is 16.8%.
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Question: 4
What is the amount of reading material available related to the science group in both sections put together as a percentage of the total value invested in the library?
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To calculate the percentage of a category across multiple sections, sum the relevant amounts first, then divide by the total investment and multiply by 100
- The science-related material in the Book Section includes Science (\( 14% \) of Rs. 146 lakh).
- The value for Science books is:
\[
\frac{14}{100} \times 146 = 20.44 \, \text{lakh}
\]
- The science-related material in the Magazine Section includes Science Fiction (\( 11% \) of Rs. 28 lakh).
- The value for Science Fiction magazines is:
\[
\frac{11}{100} \times 28 = 3.08 \, \text{lakh}
\]
- The total investment in the library (Book Section + Magazine Section) is Rs. 146 lakh + Rs. 28 lakh = Rs. 174 lakh.
- The total investment in science-related material is:
\[
20.44 + 3.08 = 23.52 \, \text{lakh}
\]
- To find the percentage of science-related material in the total library investment:
\[
\frac{23.52}{174} \times 100 \approx 13.5%
\]
Thus, the correct answer is 13.5%.
