Data Interpretation - Bar Charts - Discussion

Discussion Forum : Bar Charts - Bar Chart 10 (Q.No. 4)
Directions to Solve

The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by

% Profit/Loss = Income - Expenditure x 100
Expenditure

Income and Expenditure (in million US $) of five companies in the year 2001.


4.
For Company R, if the expenditure had increased by 20% in year 2001 from year 2000 and the company had earned profit of 10% in 2000, what was the Company's income in 2000 (in million US $)?
35.75
37.25
38.5
41.25
Answer: Option
Explanation:

Let the expenditure of Company R in 2000 be x million US $.

Then, expenditure of Company R in 2001 = ( 120 x x ) million US $.
100

Therefore 120x = 45     =>     x = 37.5.
100

i.e., expenditure of Company R in 2000 = 37.5 million US $.

Let the income of Company R in 2000 be I million US $.

Then, 10 = (I - 37.5) x 100     [ Ref %Profit in 2000 = 10%]
37.5

    => I - 37.5 = 3.75

    => I = 41.25

i.e., Income of Company R in 2000 = 41.25 million US $.

Discussion:
13 comments Page 2 of 2.

Manisha said:   1 decade ago
In question profit is given 20% but in the solution why we solved with 120(2nd step)?

Soundarya said:   1 decade ago
step 1: 10 = [(I-37.5)/ 37.5]* 100.
step 2: 37.5*10 = (I-37.5)100.
step 3: 375/100 = (I-37.5).
step 4: 3.75 = I-37.5.
step 5: 3.75+37.5 = I.
step 6: 41.25 = I.

ATIF said:   1 decade ago
I want to know know that by you have assume this (I million) and in the last 2nd step how this answer came I=41.25.


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