The following pie chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the chart and answer the questions that follow.
What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
Answer: C
A pie chart's full circle represents 100%, so each percentage point is 3.6°.
Royalty accounts for 15%:
\[ \frac{15}{100} \times 360^{\circ} = 54^{\circ} \]
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The price of the book is marked 20% above the Cost Price. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book?
Answer: B
Let the Cost Price (CP) be x. The Marked Price (MP) is 20% above CP. So, MP = 1.20 * CP.
180 = 1.20 * CP => CP = 180 / 1.2 = Rs. 150.
The cost of paper is 25% of the total cost price.
Cost of paper = 25% of 150 = 0.25 * 150 = Rs. 37.50.
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The following bar chart shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2018 and 2019. Study the chart and answer the questions that follow.
What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?
Answer: A
Total sales of branch B2 for both years = 75 + 65 = 140 thousand.
Total sales of branch B4 for both years = 85 + 95 = 180 thousand.
The required ratio is 140 : 180.
Dividing both by 20, we get the simplified ratio 7 : 9.
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Total sales of branch B6 for both years is what percent of the total sales of branch B3 for both years?
Answer: A
Total sales of branch B6 = 70 + 80 = 150 thousand.
Total sales of branch B3 = 95 + 110 = 205 thousand.
Required percentage = \(\frac{\text{Sales of B6}}{\text{Sales of B3}} \times 100\)
= \(\frac{150}{205} \times 100 \approx 73.17\)%.
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What is the average sale of all the branches for the year 2018?
Answer: B
Correct answer: 80,000
Read the 2018 series across all six branches and add.
\[80 + 75 + 95 + 85 + 75 + 70 = 480 \text{ thousand}\]
Divide by the six branches:
\[\frac{480}{6} = 80 \text{ thousand} = 80{,}000\]
Note the units: the chart is in thousands, so the average of 80 on the chart is 80,000 books.
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Which branch recorded the highest sales in the year 2019 ?
Answer: A
Correct answer: B3
Reading the 2019 series across the six branches gives 105, 65, 110, 95, 95 and 80 thousand. The largest of these is 110, recorded by B3.
B3 also led in 2018 with 95 thousand, so it is the strongest branch in both years.
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The following table shows the production of five types of cars (in thousands) by a company from 2015 to 2020. Study the table and answer the questions that follow.
| Year/Car Type | A | B | C | D | E |
|---|---|---|---|---|---|
| 2015 | 100 | 150 | 120 | 180 | 200 |
| 2016 | 120 | 160 | 130 | 190 | 210 |
| 2017 | 130 | 170 | 140 | 200 | 220 |
| 2018 | 140 | 180 | 150 | 210 | 230 |
| 2019 | 150 | 190 | 160 | 220 | 240 |
| 2020 | 160 | 200 | 170 | 230 | 250 |
What was the total production of cars of type B in all the years together?
Answer: B
To find the total production of type B cars, we need to sum the values in the 'B' column.
Total Production of B = 150 + 160 + 170 + 180 + 190 + 200
This is an arithmetic progression. Sum = \(\frac{n}{2}(a+l) = \frac{6}{2}(150+200) = 3 \times 350 = 1050\).
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For which car type was the percentage increase in production from 2015 to 2020 the maximum?
Answer: A
We need to calculate the percentage increase for each car type using the formula: \(\frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \times 100\).
The maximum percentage increase is for car type A.
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What is the approximate average production of all car types in the year 2018?
Answer: B
Read the 2018 row of the table and average the five figures.
\[ 140 + 180 + 150 + 210 + 230 = 910 \]
\[ \frac{910}{5} = 182 \text{ thousand} \]
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The following chart gives the percentage of the different subject teachers in a particular school. Total number of teachers is 1600.
| Subject | Teachers (%) |
|---|---|
| Physics | 12% |
| History | 14% |
| Hindi | 15% |
| English | 21% |
| Mathematics | 22% |
| Chemistry | 16% |
What is the number of male teachers of mathematics if the ratio of mathematics teachers of male to female is 3 : 1 ?
CBSE Assistant Secretary - 2024,
Answer: B
The number is 264.
Mathematics teachers are 22% of all teachers.
\[ 22\% \text{ of } 1600 = \frac{22}{100} \times 1600 = 352 \]
The male to female ratio is 3 : 1, so males are three of every four mathematics teachers.
\[ \frac{3}{4} \times 352 = 264 \]
There are 264 male mathematics teachers. The option 352 is all the mathematics teachers, 88 is the female share (one quarter of 352) and 176 is half of them.
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