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  1. If the income of Company Q in 2001 was 10% more than its income in 2000 and the Company had earned a profit of 20% in 2000, then its expenditure in 2000 (in million US $) was?

  2. A.

    28.28

    B.

    30.30

    C.

    32.32

    D.

    34.34

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    Answer : Option B

    Explanation :

    Let the income of Company Q in 2001 = x million US $.

    Then, income of Company in  2001 = [ \(\frac { 110 } { 100 }\) X X ] million US $.

     \(\frac { 110 X} { 100 }\) = 40   => X = [\(\frac { 400 } { 11 } \) ] 

    i.e., income of Company Q in 2000   [\(\frac { 400 } { 11 } \)] million US $.

    Let the expenditure of Company Q in 2000 be E million US $.

    Then, 20 = [\( \frac { [(400/11) -E] } { E} \) X 100  [Ref %Profit = 20% ]

    =>     20 = [ \([\frac {400} { 11E } ]\)  -1 ]  x 100

    =>     E = \(\frac { 400 } { 11 } \) x \( \frac { 100 } { 120 } \) = 30.30

    Therefore Expenditure of Company Q in 2000 = 30.30 million US $ 


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