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Test Level 2: Pie Chart - CAT MCQ


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20 Questions MCQ Test - Test Level 2: Pie Chart

Test Level 2: Pie Chart for CAT 2024 is part of CAT preparation. The Test Level 2: Pie Chart questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Pie Chart MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Pie Chart below.
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Test Level 2: Pie Chart - Question 1
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Directions: The question is based on the following pie chart.
Project implementation cost of ABC Ltd. (Rs. Crores)
Total project cost = Rs. 252 Crores

If the plant cost increases by 5% due to increase in construction cost, what will be approximate angle of the plant sector in the pie chart?

Detailed Solution for Test Level 2: Pie Chart - Question 1

Given plant cost = (100°/360°) × 252 crores = 70 crores
Plant cost increases by 5% of 70 crores = 3.5 crores.
∴ The Plant cost would be = 73.5 crores
∴ The total project cost would be 252 + 3.5 = 255.5 crores
Now, 255.5 is equivalent to 360°
∴ 73.5 will be $\displaystyle \frac{73.5\times 360}{255.5}$ = 103.6° (Approx)

Test Level 2: Pie Chart - Question 2
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Directions: The question is based on the following pie chart.
Project implementation cost of ABC Ltd. (Rs. Crores)
Total project cost = Rs. 252 Crores

If there is an escalation of 10% in Salaries& Wages and a reduction of 10% in land, what will be the new angle of salaries and wages?

Detailed Solution for Test Level 2: Pie Chart - Question 2

New angle of Salaries & Wages = 55° x 1.1 = 60.5° = 55 + 5.5
New angle of Land = 55° x 0.9 = 49.5° = 55 - 5.5
Since the increase in Salaries & Wages is the same as the decrease in Land, there will be no change in the total angle of the pie chart.
Thus, new angle of salaries and wages = 60.5°

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Test Level 2: Pie Chart - Question 3
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Directions: The question is based on the following pie chart.
Project implementation cost of ABC Ltd. (Rs. Crores)
Total project cost = Rs. 252 Crores

If 5% of administrative costs are reduced and 10% of the remaining administrative costs are transferred to Others category, what is the angle of administrative costs now?

Detailed Solution for Test Level 2: Pie Chart - Question 3

Reduction in administrative cost 5% of 30° = 1.5°
Hence, remaining administrative cost = 30° - 1.5° = 28.5°
Transferred administrative cost 10% of 28.5° = 2.85°
∴ Hence, the remaining administrative cost 28.5° - 2.85° = 25.65°
Also, since 5% of the administrative costs (1.5°) are reduced, thus new pie angle = 360° - 1.5° = 358.5°
Hence, new angle of Administrative Cost = x 360 = 25.76°

Test Level 2: Pie Chart - Question 4
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Directions: The following diagrams show the cost price and selling price (in Rs.) of different fruits sold by a fruit vendor.

How much percentage profit can he earn from the apples?
Detailed Solution for Test Level 2: Pie Chart - Question 4

Cost price of apples = 35% of Rs. 11,500 = Rs. 4025
Selling price of apples = 40% of Rs. 16,000 = Rs. 6400
Profit = Rs. 6400 - Rs. 4025 = Rs. 2375
So, profit percentage = $\displaystyle \frac{Profit}{C.P.}\times 100$ =  × 100 = 59% (approx.)

Test Level 2: Pie Chart - Question 5
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Directions: The following diagrams show the cost price and selling price (in Rs.) of different fruits sold by a fruit vendor.

On which fruit will he get the highest profit percentage?
Detailed Solution for Test Level 2: Pie Chart - Question 5

Test Level 2: Pie Chart - Question 6
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Directions: The following diagrams show the cost price and selling price (in Rs.) of different fruits sold by a fruit vendor.

On how many types of fruits will he suffer a loss?
Detailed Solution for Test Level 2: Pie Chart - Question 6


Only on grapes will he suffer a loss.

Test Level 2: Pie Chart - Question 7
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Directions: The following diagrams show the cost price and selling price (in Rs.) of different fruits sold by a fruit vendor.

If the selling price of pineapple is increased by 20%, then what is the percentage increase in the total selling price?
Detailed Solution for Test Level 2: Pie Chart - Question 7

C.P. is constant.
S.P. of pineapple is increased by 20%; the contribution of pineapple in total S.P. is 15%.
If we assume total S.P. to be 100, then
Increase = 20% of 15 = 3
Out of total 100, increase ⇒ 3%

Test Level 2: Pie Chart - Question 8
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Directions: Answer the question on the basis of the pie charts given below.
The following pie charts show the distribution of run scored by Kohli and the Indian team in an innings, considering only the scoring shots.

  • The balls on which no runs were scored are called dot balls.
  • Strike rate of a batsman is the number of runs scored as the percentage of the total number of balls played, including the dot balls.

If Kohli played 98 dot balls, what was his approximate strike rate?
Detailed Solution for Test Level 2: Pie Chart - Question 8

Runs scored by Kohli = (6 x 0.04 + 1 x 0.48 + 2 x 0.20 + 3 x 0. 06 + 4 x 0.22) x 50 = 109 
So, strike rate =  = 73.65 = 74 (approx.)

Test Level 2: Pie Chart - Question 9
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Directions: Answer the question on the basis of the pie charts given below.
The following pie charts show the distribution of run scored by Kohli and the Indian team in an innings, considering only the scoring shots.

  • The balls on which no runs were scored are called dot balls.
  • Strike rate of a batsman is the number of runs scored as the percentage of the total number of balls played, including the dot balls.

What was Kohli's share in the number of 4s scored by the Indian team?
Detailed Solution for Test Level 2: Pie Chart - Question 9

Kohli's share = 

Test Level 2: Pie Chart - Question 10
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Directions: Answer the question on the basis of the pie charts given below.
The following pie charts show the distribution of run scored by Kohli and the Indian team in an innings, considering only the scoring shots.

  • The balls on which no runs were scored are called dot balls.
  • Strike rate of a batsman is the number of runs scored as the percentage of the total number of balls played, including the dot balls.

If the strike rate of the Indian team for this innings was 75%, how many dot balls were played?
Detailed Solution for Test Level 2: Pie Chart - Question 10

Team's total score = (0.52 x 1 + 0.22 x 2 + 0.04 x 3 + 0.20 x 4 + 0.02 x 6) x 150 = 300
Total number of balls = 
= 300/0.75 = 400
Total number of balls = 400
Thus, number of dot balls = 400 - 150 = 250

Test Level 2: Pie Chart - Question 11
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Directions: Answer the question on the basis of the pie charts given below.
The following pie charts show the distribution of run scored by Kohli and the Indian team in an innings, considering only the scoring shots.

  • The balls on which no runs were scored are called dot balls.
  • Strike rate of a batsman is the number of runs scored as the percentage of the total number of balls played, including the dot balls.

If Dhoni scored 43 runs in the innings, how much did Dhoni and Kohli together contribute to the team's total score?
Detailed Solution for Test Level 2: Pie Chart - Question 11

Team's total score = (0.52 x 1 + 0.22 x 2 + 0.04 x 3 + 0.20 x 4 + 0.02 x 6) x 150 = 300
Dhoni's score = 43 runs
Runs scored by Kohli = (6 x 0.04 + 1 x 0.48 + 2 x 0.20 + 3 x 0. 06 + 4 x 0.22) x 50 = 109 
Contribution of Kohli and Dhoni in total run's = 

Test Level 2: Pie Chart - Question 12
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Directions: Study the following information of monthly income and expenditure of an NGO and answer the question.

If the income from colleges is Rs. 40 lakhs and expenditure on salaries of workers is Rs. 11 lakhs, then find the savings of an NGO.
(Saving = Income - Expenditure)
Detailed Solution for Test Level 2: Pie Chart - Question 12

Income from college is Rs. 40 lakhs.
Let total income be Rs. x.
40% of x = 40 lakhs
x = (40/40) x 100 = 100 lakhs
Let total expenditure be Rs. y. 
55% of y = 11 lakhs
y = (11/55) x 100 = 20 lakhs
Total savings of relief fund = 100 - 20 = Rs. 80 lakhs

Test Level 2: Pie Chart - Question 13
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Directions: Study the following information of monthly income and expenditure of an NGO and answer the question.

If no money is spent on construction, then the income and expenditure are same; otherwise there is shortage of Rs. 6,50,000. What is the total income (approximately) of the NGO?
Detailed Solution for Test Level 2: Pie Chart - Question 13

From given information,
Total income = Total expenditure - 9% of total expenditure
= Total expenditure - 6,50,000
Total expenditure = 6,50,000/0.09 = Rs. 72,22,222 (approximately)
Total income = 72,22,222 x 0.91 = Rs. 65,72,222 (approximately)

Test Level 2: Pie Chart - Question 14
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Directions: Study the following information of monthly income and expenditure of an NGO and answer the question.

If the total income was Rs. 3.5 crores, and expenses on taxes and amenities is done only from the total colleges income, then what is the total expenditure (approximately)?
Detailed Solution for Test Level 2: Pie Chart - Question 14

Income from college = Expenditure on taxes and amenities
⇒ 40% of income = 36% of expenditure
Expenditure = 

Test Level 2: Pie Chart - Question 15
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Directions: Study the following information of monthly income and expenditure of an NGO and answer the question.

If relief funds's contribution was Rs. 10,00,000 and total savings were Rs. 60,000, then what would be the expenditure on salaries of workers?
(Savings = Income - Expenditure)
Detailed Solution for Test Level 2: Pie Chart - Question 15

Relief fund's contribution = 35% of the total income
Total income =  28,57,143
Savings = Rs. 60,000
⇒ Total expenditure = Total income - savings
= 28,57,143 - 60,000 = 27,97,143
Expenditure on salaries of workers = 55% of total expenditure = Rs. 15,38,429

Test Level 2: Pie Chart - Question 16
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Directions: Study the given information and answer the following question. 
The pie charts shown below give information about the percentage distribution of incomes and expenses of different family members. 

If the income of F increases by 18% and his expenses increase by 36%, then what will be the percentage decrease in savings of F?
Detailed Solution for Test Level 2: Pie Chart - Question 16

Initial Savings of F = 2,70,000 x 0.2 – 1,45,000 x 0.24 = 54,000 - 34,800 = Rs. 19,200
Final Savings of F = 2,70,000 x 0.2 x 1.18 – 1,45,000 x 0.24 x 1.36 = 63,720 - 47,328 = Rs. 16,392
Percentage decrease = (2808 x 100)/19,200 = 14.6%

Test Level 2: Pie Chart - Question 17
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Directions: Study the given information and answer the following question. 
The pie charts shown below give information about the percentage distribution of incomes and expenses of different family members. 

The amount saved by B is what percent of amount saved by D?
Detailed Solution for Test Level 2: Pie Chart - Question 17

Amount saved by B = 2,70,000 x 0.21 – 1,45,000 x 0.15 = 56,700 - 21,750 = Rs. 34,950
Amount saved by D = 2,70,000 x 0.21 – 1,45,000 x 0.18 = 56,700 - 26,100 = Rs. 30,600
Required Percentage = (34,950 x 100)/30,600 = 114.22%

Test Level 2: Pie Chart - Question 18
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Directions: A company manufactures bicycles, bikes, cars and auto rickshaws. In the previous year, this company got 20% profit.
The following pie-charts represent the expenses and income of the company last year.

Total expenses are $150 mn.

Which product gave the maximum profit percentage?
Detailed Solution for Test Level 2: Pie Chart - Question 18

Total expenses are $150 mn.
Since the companay got 20% profit, so the income will be $180 mn.

Both bicycles and bikes gives 50 % profit.

Test Level 2: Pie Chart - Question 19
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Directions: A company manufactures bicycles, bikes, cars and auto rickshaws. In the previous year, this company got 20% profit.
The following pie-charts represent the expenses and income of the company last year.

Total expenses are $150 mn.

What is the ratio of profit from bikes to the total profit?
Detailed Solution for Test Level 2: Pie Chart - Question 19

Total expenses are $150 mn.
Since the company got 20% profit, so the income will be $180 mn.

Test Level 2: Pie Chart - Question 20
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Directions: A company manufactures bicycles, bikes, cars and auto rickshaws. In the previous year, this company got 20% profit.
The following pie-charts represent the expenses and income of the company last year.

Total expenses are $150 mn.

If expenses of cars increase by 10% and income on bikes decreases by 10% and others do not change, then what is the percentage change in the total profit?
Detailed Solution for Test Level 2: Pie Chart - Question 20

Total expenses are $150 mn.
Since the company got 20% profit, so the income will be $180 mn.

Expenses of cars increased by 10%.
New expenses of cars = 54 x 1.1 = 59.4 mn
Increase in expenses of cars = 59.4 - 54 = 5.4 mn
Total expenses increase = 150 + 5.4 = $155.4 mn
10% decrease in income of bikes (30%)
New income of bikes = 54 x 0.9 = 48.6 mn
Decrease in income of bikes = 54 - 48.6 = 5.4 mn
Hence, total income = 180 - 5.4 = $174.6 mn
New profit = $174.6 - $155.4 = $19.2 mn
Initial profit = $30 mn
So, decrease in profit % = [(30 - 19.2)/30] x 100 = 36%

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