Data Interpretation Questions and Answers

The graph gives the data for the percentage of candidates qualified to appeared and unless the absolute values of number of candidates qualified or candidates appeared is know we cannot compare the absolute values for any two years.

Hence, the data is inadequate to solve this question.

The differences between the percentages of candidates qualified to appeared for the give pairs of years are:

For 1994 and 1995 = 50 - 30 = 20.

For 1998 and 1999 = 80 - 80 = 0.

For 1994 and 1997 = 50 - 30 = 20.

For 1997 and 1998 = 80 - 50 = 30.

For 1999 and 2000 = 80 - 60 = 20.

Thus, the maximum difference is between the years 1997 and 1998.

Let the incomes of each of the two Companies X and Y in 1999 be Rs. x.

And let the expenditures of Companies X and Y in 1999 be E₁ and E₂ respectively.

Then, for Company X we have:

50 = (x - E₁)/E₁ x 100 => 50/100 = (x/E₁) - 1 => x = 150/100 E₁ .... (i)

Also, for Company Y we have:

60 = (x - E₂)/E₂ x 100 => 60/100 = (x/E₂) - 1 => x = 160/100 E₂ .... (ii)

From (i) and (ii), we get:

150/100 E₁ = 160/100 E₂ => E₁/E₂ = 160/150 = 16/15 (Required ratio)

Let the income of Company X in 1998 be Rs. x crores.

Then, 55 = (x - 200)/200 x 100  =>  x = 310

Therefore Expenditure of Company X in 2001 = Income of Company X in 1998

= Rs. 310 crores.

Let the income of Company X in 2001 be Rs. z crores.

Then, 50 = (z - 310)/310 x 100 => z = 465

Therefore Income of Company X in 2001 = Rs. 465 crores.

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 x 100  =>  40/100 = z/x - 1  =>  x = 100z/140 .... (i)

Also, for Company Y we have: 45 = ((342 - z)/x) x 100  =>  45/100 = ((342 - z)/x) - 1 => x = ((342 - z) x 100)/145 .... (ii) 

From (i) and (ii), we get:

100z/140 = ((342 - z) x 100)/145 => z = 168

Substituting z = 168 in (i), we get : x = 120.

Therefore Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores.

Total income of Companies X and Y in 1996 = Rs. 342 crores.

Therefore Total profit = Rs. (342 - 240) crores = Rs. 102 crores.

Profit percent of Company Y in 1997 = 35.

Let the income of Company Y in 1997 be Rs. x crores.

Then, 35 = (x - 220)/220 x 100  =>  x = 297

Therefore Income of Company Y in 1997 = Rs. 297 crores.

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

For Company Y we have:

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

From (i) and (ii), we get:

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

Required percentage = ( 128000/78000 x 100 ) %

≈ 164%

The difference between the productions of Companies X and Y in various years are:

For 1997 (139000 - 119000) = 20000.

For 1998 (120000 - 99000) = 21000.

For 1999 (141000 - 100000) = 41000.

For 2000 (128000 - 78000) = 50000.

For 2001 (120000 - 107000) = 13000.

For 2002 (159000 - 148000) = 11000.

Clearly, maximum difference was in 2000

Average number of vehicles manufactured by Company X

= 1/6 x (119000 + 99000 + 141000 + 78000 + 120000 + 159000)

= 119333.