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Q1: In a school the periodical examination are held every second month. In a session during April 2001 - March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each perodical exam are represented in the line-graph given below. Marks Obtained by student in Six Periodical Held in Every Two Months During the Year in the Session 2001 - 2002.   Maximum Total Marks in each Periodical Exam = 500

A
65 = 3x - E1 x 100     =>     65 = 3x - 1     =>     E1 = 3x x ( 100 ) .... (i)
E1 100 E1 165

B
50 = 4x - E2 x 100     =>     50 = 4x - 1     =>     E2 = 4x x ( 100 ) .... (ii)
E2 100 E2 150

C
E1 =
3x x ( 100 )
165
= 3 x 150 = 15 (Required ratio).
E2
4x x ( 100 )
150
4 x 165 22

D
Then, 35 = x - 220 x 100     =>     x = 297.
220

ANS:A -

65 = 3x - E1 x 100     =>     65 = 3x - 1     =>     E1 = 3x x ( 100 ) .... (i)
E1 100 E1 165

Let the incomes in 2000 of Companies X and Y be 3x and 4x respectively. And let the expenditures in 2000 of Companies X and Y be E1 and E2 respectively. Then, for Company X we have:

65 = 3x - E1 x 100     =>     65 = 3x - 1     =>     E1 = 3x x ( 100 ) .... (i)
E1 100 E1 165
For Company Y we have:
50 = 4x - E2 x 100     =>     50 = 4x - 1     =>     E2 = 4x x ( 100 ) .... (ii)
E2 100 E2 150
From (i) and (ii), we get:
E1 =
3x x ( 100 )
165
= 3 x 150 = 15 (Required ratio).
E2
4x x ( 100 )
150
4 x 165 22



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