# Data Interpretation - Line Charts - Discussion

Discussion Forum : Line Charts - Line Chart 4 (Q.No. 5)

*Directions to Solve*

The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.

Percentage profit earned by Two Companies X and Y over the Given Years

%Profit = | Income - Expenditure | x 100 |

Expenditure |

5.

If the incomes of two Comapanies were equal in 1999, then what was the ratio of expenditure of Company X to that of Company Y in 1999 ?

Answer: Option

Explanation:

Let the incomes of each of the two Companies X and Y in 1999 be Rs. *x*.

And let the expenditures of Companies X and Y in 1999 be E_{1} and E_{2} respectively.

Then, for Company X we have:

50 = | x - E_{1} |
x 100 | 50 | = | x |
- 1 x = |
150 | E_{1} .... (i) |

E_{1} |
100 | E_{1} |
100 |

Also, for Company Y we have:

60 = | x - E_{2} |
x 100 | 60 | = | x |
- 1 x = |
160 | E_{2} .... (ii) |

E_{2} |
100 | E_{2} |
100 |

From (i) and (ii), we get:

150 | E_{1} = |
160 | E_{2} |
E_{1} |
= | 160 | = | 16 | (Required ratio). |

100 | 100 | E_{2} |
150 | 15 |

Discussion:

3 comments Page 1 of 1.
Rahul agarwal said:
1 decade ago

More easiest way to solve this question will be

Let Income of both X and Y be 240

240/15:240/16=16:15

Let Income of both X and Y be 240

240/15:240/16=16:15

Bhavin said:
1 decade ago

@Rahul. Why have you assumed income as 240? and why not any other number?

Gaurav Gavankar said:
7 years ago

From profit formula, we can write expenditure=(income*100)/(profit+100) . Now calculate ratio of expenditures of both companies.

i.e. E(X)/E(Y)= {(income(x)*100)/(profit(x)+100) }/ { (income(y)*100)/(profit(y)+100)}.

As, income(x) = income(y).

Therefore E(X)/E(Y) = (profit(y) + 100)/(profit(x) + 100).

= (60+100)/(50+100).

= 160/150.

E(X)/E(Y) = 16:15.

i.e. E(X)/E(Y)= {(income(x)*100)/(profit(x)+100) }/ { (income(y)*100)/(profit(y)+100)}.

As, income(x) = income(y).

Therefore E(X)/E(Y) = (profit(y) + 100)/(profit(x) + 100).

= (60+100)/(50+100).

= 160/150.

E(X)/E(Y) = 16:15.

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