All questions of Pie Chart for Electrical Engineering (EE) Exam

Total revenues are Rs. 1800 crores. Overall profit margin is 10%. The division with the largest revenue has the least profit margin but not the least profits. The division with the profit margin higher than all others generates the least profit. Exactly one division has the same profit margin as the overall Company. Company D generates more profits than Company E.
Q. How much profit did Company A make?
  • a)
    Rs. 60 crores
  • b)
    Rs. 50 crores
  • c)
    Rs. 25 crores
  • d)
    Rs. 30 crores
Correct answer is option 'D'. Can you explain this answer?

  • Total revenues are Rs. 1800 crores.
  • Overall profit margin is 10%
  • Overall profit is Rs. 180 crores.
  • Exactly one division has the same profit margin as the overall Company. So, for this division, share of revenues should be equal to share of profits. Or, one of Company A or D has a profit margin of 10%
  • Let us also compute absolute profit numbers the 5 numbers are Rs. 35 crores, Rs. 40 crores, Rs. 25 crores, Rs. 30 crores and Rs. 50 crores
  • The division with the largest revenue has the least profit margin but not the least profits: So, E has the least profit margin but not the least profits. Company D generates more profits than Company E, so Company E does not generate the least profit either
  • So, Company E should generate profits of Rs. 35 crores or Rs. 40 crores.
  • Now, this is the critical statement - "The division with the profit margin higher than all others generates the least profit? Company C has the least revenue, and by a distance. So, it is possible that division C should have the highest profit margin. The lowest profit margin for division C should be 16.67%, Now, if the Rs. 25 crore profit were for any other division, the profit margin of that division would be less than 16.67%. This tells us that the Rs. 25 crore profit is made by division C at a profit margin of 16.67%.
  • So this is where we stand now
  • The three missing profit numbers are Rs. 50 crores, Rs. 40 crores and Rs. 35 crores
  • Company E did not generate profit of Rs. 50 crores. So, the Rs. 50 crore profit number should have been seen by either B or D. If it had been D, then D would also have had a profit margin of 16,67%. But this is not possible as the question says - "The division with the profit margin higher than all others generates the least profit. The above statement tells us that no company apart from C had a profit margin of 16.67% or more. So, Company B should have seen a profit of Rs. 50 crores.
  • Company D generates more profit than E so E should have seen a profit of 35 crores and D a profit of Rs 40 crores 
  • Therefore, the Profit that Company A made is equal to 30 crores
 
 

Total revenues are Rs. 1800 crores. Overall profit margin is 10%. The division with the largest revenue has the least profit margin but not the least profits. The division with the profit margin higher than all others generates the least profit. Exactly one division has the same profit margin as the overall Company. Company D generates more profits than Company E.
Q. What was the profit margin for company B?
  • a)
    8.33%
  • b)
    12.5%
  • c)
    11.11%
  • d)
    12.33%
Correct answer is option 'C'. Can you explain this answer?

  1. Identify the emissions data:
    • 2005: 500 million metric tons
    • 2009: 800 million metric tons
    • Total growth: 800 – 500 = 300 (60% increase over 4 years).
  2. Calculate year‑on‑year growth rates:
    • 2005–2006: (600 – 500) / 500 ≈ 20%
    • 2006–2007: (650 – 600) / 600 ≈ 8.33%
    • 2007–2008: (700 – 650) / 650 ≈ 7.69%
    • 2008–2009: (800 – 700) / 700 ≈ 14.29%
  3. Compute the arithmetic mean of annual growth rates:
    (20% + 8.33% + 7.69% + 14.29%) / 4 ≈ 50.31% / 4 ≈ 12.5775%
    Rounded to two decimal places: 12.57%.

Instructions: On the basis of the information given below, answer the questions that follow.
Maruti Suzuki has tie-ups with five dealers in Allahabad to sell their cars. The first pie chart given below gives the dealer-wise break-up of the number of cars sold by Maruti Suzuki in Allahabad in 2015. The second pie chart shows the model-wise breakup of the total cars sold by Maruti Suzuki in 2015 in Allahabad.
Q. If for any dealer, the percentage of Wagon R’s sold by him did not exceed 25% of his total sales, then at least how many dealers sold Wagon R?
  • a)
    8
  • b)
    3
  • c)
    11
  • d)
    17
Correct answer is option 'B'. Can you explain this answer?

Iq Funda answered
We have to minimize the number of dealers who sold Wagon R.
So to minimize the number of dealers, the dealers who have largest share in total sales should have maximum share of Wagon R.
So if we assume that Q and R sold Wagon R the maximum number of Wagon R’s they can sell is 25% of 51 which is equal to 12.75%.
But the overall share of Wagon R is 16% so there should be at least 1 more dealer who sells Wagon R.
Hence the correct answer is 3.

Chapter doubts & questions for Pie Chart - 6 Months Preparation for GATE Electrical 2025 is part of Electrical Engineering (EE) exam preparation. The chapters have been prepared according to the Electrical Engineering (EE) exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

Chapter doubts & questions of Pie Chart - 6 Months Preparation for GATE Electrical in English & Hindi are available as part of Electrical Engineering (EE) exam. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.

Top Courses Electrical Engineering (EE)