Comprehension
Go through the pie chart/s given below and answer the question that follows.
Question: 1
By how much percentage is the value of history books higher than that of film magazines?
By how much percentage is the value of history books higher than that of film magazines?
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To calculate percentage increase or decrease, divide the difference by the original value and multiply by 100.
Updated On: Mar 7, 2025
- 172%
- 27.2%
- 272%
- 72%
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The Correct Option is C
Solution and Explanation
- 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?
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.
Updated On: Mar 7, 2025
- 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 is D
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?
What is the invested amount for literature as a percentage of the total investment of the library in books and magazine section?
Show Hint
To find the percentage of an amount in relation to a total, divide the part by the total and multiply by 100.
Updated On: Mar 7, 2025
- 16.8%
- 15.5%
- 13.6%
- 14%
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The Correct Option is A
Solution and Explanation
- 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?
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?
Show Hint
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
Updated On: Mar 7, 2025
- 16.5%
- 1.55%
- 13.5%
- 18.4%
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The Correct Option is C
Solution and Explanation
- 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%.
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