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Data Interpretation - Line Charts - Discussion

Discussion Forum : Line Charts - Line Chart 6 (Q.No. 8)
Line Charts
Directions to Solve

The following line graph gives the annual percent profit earned by a Company during the period 1995 - 2000.

Percent Profit Earned by a Company Over the Years.

%Profit = Income - Expenditure x 100
Expenditure

8.
If the expenditure in 2000 is 25% more than expenditure in 1997, then the income in 1997 is what percent less than the income in 2000?
22.5%
25%
27.5%
31.25%
Answer: Option
Explanation:

Let the expenditure is 1997 be x.

Then, expenditure in 2000 = x + (25% of x) = 5 x.
4

Also, let the incomes in 1997 and 2000 be I1 and I2 respectively.

Then, for the year 1997, we have:

45 = I1 - x x 100     =>     45 = I1 -1    =>     I1 = 145x = 1.45x.
x 100 x 100

Also, for year 2000, we have:

60 =
( I2 - 5x )
4
x 100     =>     60 = 4I2 - 1     =>     I2 = 160 x 5x = 2x.
( 5x )
4
100 5x 100 4

Difference between the two income = (2x - 1.45x) = 0.55x.

Therefore Percentage by which I1 is less than I2 = ( 0.55x x 100 ) % = 27.5%.
2x

Discussion:
6 comments Page 1 of 1.
Lll said:   4 years ago
Let the expenditure of 1998 be 'x'.
Expenditure 2000 ....x +( 25% of x).
X+(25/100*x),
X+(0.25*x),
X+ 0 25x,
1.25x.
(1.25 * 100 = 125).
125/100 =1 1/4 = 5/4x.
(1)
Yoezer said:   5 years ago
I didn't understand clearly. Someone can kindly help me please.
(1)
Kunsel said:   5 years ago
Can anyone explain me from where did 5/4 come from?
Singh said:   8 years ago
(I)1 = 145 x/100=1.45 x.
x+x*25/100=5/4x,
(I)2= 160*(5/4x)/100=2x,

Percent less =(2x-1.45x)/2x = .55x*100/2x = 27.5%.
(1)
Prateek said:   9 years ago
Can anyone tell an alternate method please?
Sivaraj said:   1 decade ago
Short cut please?
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