Discussion :: Line charts
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If the expenditures in 1996 and 1999 are equal, then the approximate ratio of the income in 1996 and 1999 respectively is?
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Answer : Option A
Explanation :
Let the expenditure in 1996 = x.
Also, let the incomes in 1996 and 1999 be I1 and I2 respectively.
Then, for the year 1996, we have:
55 = \( \frac { I1 -X } { X } \) X 100 
\(\frac { 55 } { 100 } \) = \(\frac { I1 } { X }\) -1 I1 = \(\frac { 155x } { 100 } \)... (i)
70 = \( \frac { I2-X } { X } \) x 100 \(\frac { 70 } { 100 } \) = \(\frac { I2} { X }\) -1 I2 =\(\frac { 170X } { 100 } \) ... (ii)
From (i) and (ii), we get:
\( \frac { I1 } {I 2 } \) = \(\frac { (155 X/100) } { (170 X/100) } \) = \(\frac { 155 } {170} \) 
\( \frac { 0.91 } { 1 } \) 9:10
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