Bar Charts Questions & Answers - Page 7

Let the total amount of expenditures be Rs. x.

Then, the expenditure on interest on loans = Rs. (17.5% of x) = Rs. ( 17.5/100 x )

and the expenditure on transport = Rs. (12.5% of x) = Rs. ( 12.5/100 x )

Therefore difference between the two expenditures = Rs. ( 17.5x/100 - 12.5x/100 )

= Rs. ( 5x/100 )

and so, the required percentage = ( (5x/100)/(12.5x/100) x 100 ) % = 40%.

Let the total expenditure be Rs. x crores.

Then, 17.5% of x = 2.45 => x = 14.

Therefore Total expenditure = Rs. 14 crores.

and so, the total expenditure on advertisement, taxes and Research and Development

= Rs. [(15 + 10 + 5)% of 14] crores

= Rs. [30% of 14] crores

= Rs. 4.2 crores.

Let the total amount of expenditures be Rs. x.

Then, the total expenditure on infrastruture and transport

= Rs. [(20 + 12.5)% of x]

= Rs. [32.5% of x]

= Rs. ( 32.5x/100 )

and total expenditure on taxes and interest on loans

= Rs. [(10 + 17.5)% of x]

= Rs. [27.5% of x]

= Rs. ( 27.5x/100 )

Therefore required ratio = ( (32.5x/100)/(27.5x/100) ) = 13/11

Let the total expenditure be Rs. x crores.

Then, 15% of x = 2.10 => x = ( (2.10 x 100)/15 ) = 14

Therefore total expenditure = Rs. 14 crores

and so, the difference between the expenditures on transport and taxes

= Rs. [(12.5 - 10)% of 14] crores

= Rs. [2.5% of 14] crores

= Rs. 0.35 crores

= Rs. 35 lakhs

Let the total expenditures be Rs. x.

Then, the expenditure on Research and Development (R & D)

= Rs. (5% of x)

= Rs. ( 5/100 x (x) )

= Rs. ( x/20 )

Therefore ratio of the total expenditure to the expenditure on R & D

= x/(x/20)

= 20/1

Then, the total expenditure is 20 times the expenditure of Research and Development.

Average production (in 10000 tonnes) over the given years

=  (25 + 40 + 60 + 45 + 65 + 50 + 75 + 80)/8 = 55

Therefore the productions during the years 1997, 1999, 2001 and 2002 are more than the average production.

The percentage increase in production compared to previous year for different years are:

In 1996 = [ (40 - 25)/25 x 100 ] % = 60%

In 1997 = [ (60 - 40)/40 x 100 ] % = 50%

In 1998, there is a decrease in production.

In 1999 = [ (65 - 45)/45 x 100 ] % = 44.44%

In 2000, there is a decrease in production.

In 2001 = [ (75 - 50)/50 x 100 ] % = 50%

In 2002 = [ (80 - 75)/75 x 100 ] % = 6.67%

Clearly, there is maximum percentage increase in production in 1996.

Required percentage = [ (80 - 25)/25 x 100 ] % = 220%

Average production (in 10000 tonnes) of 1996 and 1997 (40 + 60)/2 = 50

We shall find the average production (in 10000 tonnes) for each of the given alternative pairs:

2000 and 2001 = (50 + 75)/2 = 62.5

1999 and 2000 = (65 + 50)/2 = 57.5

1998 and 2000 = (45 + 50)/2 = 47.5

1995 and 1999 = 25 + 65)/2 = 45

1995 and 2001 = 25 + 75)/2 = 50

Therefore the average production of 1996 and 1997 is equal to the average production of 1995 and 2001.

Required percentage = [ (45 - 60)/60 ] % = -25%

Therefore there is a decline of 25% in production from 1997 to 1998.