# 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 1 of 2.
Varun said:
4 years ago

Wonderful explanation, Thanks @Ksreddy.

(1)

Sangay Zangmo said:
4 years ago

100z/140.

How come 140 here? Please explain.

How come 140 here? Please explain.

Kunsel said:
4 years ago

Can anyone explain where 240 (expenditure) came from?

Chitku said:
6 years ago

Thanks @Abhi.

Ravibabu said:
7 years ago

Can anyone explain?

100/140z=((342-z) * 100)/145.

z=168 how it came z value?

Explain me.

100/140z=((342-z) * 100)/145.

z=168 how it came z value?

Explain me.

Ashwini said:
7 years ago

Can anyone please explain the simplification of z=168?

Sunil said:
7 years ago

Thanks @Abhi.

Bindalakash786@gmail.com said:
7 years ago

Thank you @Abhi.

(1)

Ksreddy said:
7 years ago

Exp:

=====

100

100

---------

200

Income

=======

140

145

---------

285

285-------85

324-------?

(324 * 85)/285 = 102cr.

=====

100

100

---------

200

Income

=======

140

145

---------

285

285-------85

324-------?

(324 * 85)/285 = 102cr.

(2)

Lavabya said:
8 years ago

Anyone can explain 100/140z=((342-z) * 100)/145.

z=168 how it came z value explain me.

z=168 how it came z value explain me.

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