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TRIANGULAR CHART || Data Interpretation || CAT 2021 || 17 September

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Question 1

Direction: Study the following graph carefully and answer the given questions.
The graph shows the percentage of Executives among working employees in three different departments of a company in three different years.
In department B, total employees in the year 2016, 2017 and 2018 ratio is 2 : 3 : 5 and the average number of total executives in 2016, 2017 and 2018 is 1700. Find the number of employees in department B in the year 2017.

Question 2

Direction: Study the following graph carefully and answer the given questions.
The graph shows the percentage of Executives among working employees in three different departments of a company in three different years.
In deptt. C, the number of executives in the year 2016 is 600 less than in 2017 and the number of executives in the year 2018 is 200 more than in 2016. Find the total employees of deptt. C in the year 2017 if the total executives in the year 2016, 2017 and 2018 in deptt. C is 9800?

Question 3

Direction: Study the following graph carefully and answer the given questions.
The graph shows the percentage of Executives among working employees in three different departments of a company in three different years.
If the number of executives working in the year 2016 in department C is equal to the number of executives working in department A in year 2018, and the number executives in department B in year 2018 is 100% more than that in department A in the same year, then how much percent more or less is the number of employees working in department B in year 2018 to those working in department C in year 2016?

Question 4

Direction: Refer to the diagram below and answer the questions that follow:

The triangular diagram given below shows the percentage distribution of income (Salary + Interest from savings + Incentives) in a month for four people(Jatin, Neeraj, Ayushi, Shekhar)

Interpretation: For a parameter of income, percentage is taken by first moving along that axis from the vertex marked as 100% and stopping at the point where the person's percentage diagonally in that parameter last crosses that axis(from 100%).

For example: For Ayushi, after stretching to incentive axis, it is 25%. 



If the total income of Jatin is Rs. 13000, then find the interest he earns from his savings.

Question 5

Direction: Refer to the diagram below and answer the questions that follow:

The triangular diagram given below shows the percentage distribution of income (Salary + Interest from savings + Incentives) in a month for four people(Jatin, Neeraj, Ayushi, Shekhar)

Interpretation: For a parameter of income, percentage is taken by first moving along that axis from the vertex marked as 100% and stopping at the point where the person's percentage diagonally in that parameter last crosses that axis(from 100%).

For example: For Ayushi, after stretching to incentive axis, it is 25%. 



If the incentives of Ayushi are Rs. 4000, her salary is _____.

Question 6

Direction: Refer to the diagram below and answer the questions that follow:

The triangular diagram given below shows the percentage distribution of income (Salary + Interest from savings + Incentives) in a month for four people(Jatin, Neeraj, Ayushi, Shekhar)

Interpretation: For a parameter of income, percentage is taken by first moving along that axis from the vertex marked as 100% and stopping at the point where the person's percentage diagonally in that parameter last crosses that axis(from 100%).

For example: For Ayushi, after stretching to incentive axis, it is 25%. 



Which of the following is true?
I. The salary of Ayushi is more than that of Jatin.
II. The salary of Shekher is equal to his incentives.
III. The salary of Ayushi is equal to interest earned by Shekher from his savings.

Question 7

Direction: A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018 . The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.

In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.

It is known that

1) The percentage profit for the store in 2016 was 100%.

2) The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018

3) There was no profit from the Electronics department in 2017

4) In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What was the percentage profit of the store in 2018?

Question 8

Direction: A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018 . The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.

In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.

It is known that

1) The percentage profit for the store in 2016 was 100%.

2) The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018

3) There was no profit from the Electronics department in 2017

4) In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What was the ratio of revenue generated from the Produce department in 2017 to that in 2018?

Question 9

Direction: A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018 . The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.

In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.

It is known that

1) The percentage profit for the store in 2016 was 100%.

2) The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018

3) There was no profit from the Electronics department in 2017

4) In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What percentage of the total profits for the store in 2016 was from the Electronics department?

Question 10

Direction: A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue and cost from the three departments for the years 2016, 2017 and 2018 . The dotted lines depict percentage levels. So for example, in 2016, 50% of store's revenue came from its Electronics department while 40% of its costs were incurred in the Produce department.

In this setup, Profit is computed as (Revenue – Cost) and Percentage Profit as Profit/Cost × 100%.

It is known that

1) The percentage profit for the store in 2016 was 100%.

2) The store’s revenue doubled from 2016 to 2017, and its cost doubled from 2016 to 2018

3) There was no profit from the Electronics department in 2017

4) In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What was the approximate difference in profit percentages of the store in 2017 and 2018?
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