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Official PYQ · 2020

GATE CS 2020 QGA-10 — General Aptitude

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The total revenue of a company during 2014−20182014-2018 is shown in the bar graph. If the total expenditure of the company in each year is 500500 million rupees, then the aggregate profit or loss (in percentage) on the total expenditure of the company during 2014−20182014-2018 is ___________.

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Answer: C

To find the aggregate profit or loss percentage, we first calculate the total revenue and the total expenditure over the five-year period from 20142014 to 20182018.

Step 1: Calculate the Total Revenue
From the bar graph, the revenues (in million rupees) for each year are:

  • 2014: 500500
  • 2015: 570570
  • 2016: 670670
  • 2017: 600600
  • 2018: 660660
Total Revenue=500+570+670+600+660=3000 million rupees\text{Total Revenue} = 500 + 570 + 670 + 600 + 660 = 3000 \text{ million rupees}

Step 2: Calculate the Total Expenditure
The expenditure for each of the 55 years is 500500 million rupees. Total Expenditure=5×500=2500 million rupees\text{Total Expenditure} = 5 \times 500 = 2500 \text{ million rupees}

Step 3: Calculate the Aggregate Profit
Since the total revenue is greater than the total expenditure, the company made a profit: Aggregate Profit=Total Revenue−Total Expenditure\text{Aggregate Profit} = \text{Total Revenue} - \text{Total Expenditure} Aggregate Profit=3000−2500=500 million rupees\text{Aggregate Profit} = 3000 - 2500 = 500 \text{ million rupees}

Step 4: Calculate the Profit Percentage
The profit percentage on the total expenditure is: Profit Percentage=(Aggregate ProfitTotal Expenditure)×100\text{Profit Percentage} = \left( \frac{\text{Aggregate Profit}}{\text{Total Expenditure}} \right) \times 100 Profit Percentage=(5002500)×100=20% profit\text{Profit Percentage} = \left( \frac{500}{2500} \right) \times 100 = 20\% \text{ profit}

Therefore, the correct option is C.

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