# Data Interpretation - Line Charts - Discussion

Discussion Forum : Line Charts - Line Chart 4 (Q.No. 3)

*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 |

3.

If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)

Answer: Option

Explanation:

Let the expenditures of each companies X and Y in 1996 be Rs. *x* crores.

And let the income of Company X in 1996 be Rs. *z* crores.

So that the income of Company Y in 1996 = Rs. (342 - *z*) crores.

Then, for Company X we have:

40 = | z - x |
x 100 | 40 | = | z |
- 1 x = |
100z |
.... (i) |

x |
100 | x |
140 |

Also, for Company Y we have:

45 = | (342 - z) |
x 100 | 45 | = | (342 - z) |
- 1 x = |
(342 - z) x 100 |
.... (ii) |

x |
100 | x |
145 |

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

100z |
= | (342 - z) x 100 |
z = 168. |

140 | 145 |

Substituting *z* = 168 in (i), we get : *x* = 120.

Total expenditure of Companies X and Y in 1996 = 2*x* = Rs. 240 crores.

Total income of Companies X and Y in 1996 = Rs. 342 crores.

Total profit = Rs. (342 - 240) crores = Rs. 102 crores.

Discussion:

19 comments Page 2 of 2.
Santosh said:
6 years ago

Nice @Abhi.

Amit said:
7 years ago

Thank you. Nice explanation @Abhi.

Shailesh mishra said:
7 years ago

Thanks for the explanation.

Mani deepthi reddy said:
7 years ago

Thanks for the explanation of the answer.

Abhi said:
8 years ago

145x/100+140x/100 = 342.

x = 120.

45+40 = 85%of 120 = 102.

x = 120.

45+40 = 85%of 120 = 102.

Shradha said:
9 years ago

I did not understood this question can anyone simply it in easy way.

Sivaraj said:
9 years ago

Is it possible to solve while examination with in time?

Anjali Gupta said:
9 years ago

40/100 = z/x-1 = 100z/140.

100z/140.

How is come?

please explain.

100z/140.

How is come?

please explain.

Alok said:
1 decade ago

Is there any shortcut ?

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