Total number of Q type cars produced in 2001

    =(60 - 40)% of 4,40,000 = 88,000.

Total number of Q type cars produced in 2000

    =(45 - 30)% of 3,50,000 = 52,500.

Required difference = (88000 - 52500) = 35,500.

Analysis of the graph:

We shall first determine the number of cars of each model produced by the Company during the two years:

In 2000 : Total number of cars produced = 3,50,000.

P = (30 - 0)% of 3,50,000 = 30% of 3,50,000 = 1,05,000.

Q = (45 - 30)% of 3,50,000 = 15% of 3,50,000 = 52,500.

R = (65 - 45)% of 3,50,000 = 20% of 3,50,000 = 70,000.

S = (75 - 65)% of 3,50,000 = 10% of 3,50,000 = 35,000.

T = (90 - 75)% of 3,50,000 = 15% of 3,50,000 = 52,500.

U = (100 - 90)% of 3,50,000 = 10% of 3,50,000 = 35,000.

In 2001 : Total number of cars produced = 4,40,000.

P = (40 - 0)% of 4,40,000 = 40% of 4,40,000 = 1,76,000.

Q = (60 - 40)% of 4,40,000 = 20% of 4,40,000 = 88,000.

R = (75 - 60)% of 4,40,000 = 15% of 4,40,000 = 66,000.

S = (85 - 75)% of 4,40,000 = 10% of 4,40,000 = 44,000.

T = (95 - 85)% of 4,40,000 = 10% of 4,40,000 = 44,000.

U = (100 - 95)% of 4,40,000 = 5% of 4,40,000 = 22,000.

Total number of cars of models P, Q and T manufacture in 2000

    = (105000 + 52500 + 52500)

    = 2,10,000.

If the percentage production of P type cars in 2001

    = Percentage production of P type cars in 2000

    = 30%.

then, number of P type cars produced in 2001

    = 30% of 4,40,000

    = 1,32,000.

Number of S type cars which remained unsold in 2000 = 15% of 35,000

and number of S type cars which remained unsold in 2001 = 15% of 44,000.

Total number of S type cars which remained unsold

    = 15% of (35,000 + 44,000)

    = 15% of 79,000

    = 11,850.

The percentage change (rise/fall) in production from 2000 to 2001 for various models is:

For P =		(176000 - 105000)	x 100		% = 67.62%, rise.
		105000

For Q =		(88000 - 52500)	x 100		% = 67.62%, rise.
		52500

For R =		(70000 - 66000)	x 100		% = 5.71%, fall.
		70000

For S =		(44000 - 35000)	x 100		% = 25.71%, rise.
		35000

For T =		(52500 - 44000)	x 100		% = 16.19%, fall.
		52500

For U =		(35000 - 22000)	x 100		% = 37.14%, fall.
		35000

Minimum percentage rise/fall is production is the case of model R.