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    The given table shows the expenditure (in crore ₹) of three companies A, B and C and the percentage profit of these companies in different years. G
    Question

    The given table shows the expenditure (in crore ₹) of three companies A, B and C and the percentage profit of these companies in different years.
    Given that:
    Income = Expenditure + Expenditure × (Profit % / 100) 

    Years

    Company A

    Company B

    Company C

    Expenditure

    Profit

    Expenditure

    Profit

    Expenditure

    Profit

    2002

    24

    50%

    20

    40%

    40

    45%

    2003

    30

    45%

    15

    25%

    50

    55%

    2004

    36

    40%

    25

    35%

    60

    65%

    2005

    40

    60%

    35

    48%

    80

    75%

    What is the difference (in crore ₹) between the profits of Company A and Company B in the year 2005?

    A.

    7.2

    B.

    12.5

    C.

    10.4

    D.

    8.3

    Correct option is A

    Given:
    Expenditure of Company A in 2005 = ₹40 crore
    Profit percentage of Company A in 2005 = 60%
    Expenditure of Company B in 2005 = ₹35 crore
    Profit percentage of Company B in 2005 = 48%
    Formula Used:
    Income=Expenditure+Expenditure×Profit%100\text {Income} = \text{Expenditure} + \text{Expenditure} \times \frac{\text{Profit\%}}{100}​​
    Profit = Income – Expenditure
    So,
    IncomeExpenditure=Expenditure×Profit%100  Profit of a company=Expenditure×Profit percentage100\text {Income} -\text{Expenditure} = \text{Expenditure} \times \frac{\text{Profit\%}}{100} \\ \ \\\implies \text{Profit of a company} = \text{Expenditure} \times \frac{\text{Profit percentage}}{100}​​
    Solution:
    The profit of Company A in 2005:
    Profit of Company A=40×60100=40×0.6=24\text{Profit of Company A} = 40 \times \frac{60}{100} = 40 \times 0.6 = ₹24​​
    The profit of Company B in 2005:
    Profit of Company B=35×48100=35×0.48=16.8crore\text{Profit of Company B} = 35 \times \frac{48}{100} = 35 \times 0.48 = ₹16.8 \text{crore} ​
    Now,
    Difference in profit = ₹24 − ₹16.8 = ₹7.2 crore

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