Data Interpretation - Bar Charts

The bar graph given below shows the percentage distribution of the total production of a car manufacturing company into various models over two years.

Percentage of Six different types of Cars manufactured by a Company over Two Years

1. 

What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?

A. 35,500
B. 27,000
C. 22,500
D. 17,500

Answer: Option A

Explanation:

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.

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


2. 

Total number of cars of models P, Q and T manufactured in 2000 is?

A. 2,45,000
B. 2,27,500
C. 2,10,000
D. 1,92,500

Answer: Option C

Explanation:

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.


3. 

If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been?

A. 1,40,000
B. 1,32,000
C. 1,17,000
D. 1,05,000

Answer: Option B

Explanation:

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.


4. 

If 85% of the S type cars produced in each year were sold by the company, how many S type cars remain unsold?

A. 7650
B. 9350
C. 11,850
D. 12,250

Answer: Option C

Explanation:

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.

Therefore Total number of S type cars which remained unsold

    = 15% of (35,000 + 44,000)

    = 15% of 79,000

    = 11,850.


5. 

For which model the percentage rise/fall in production from 2000 to 2001 was minimum?

A. Q
B. R
C. S
D. T

Answer: Option B

Explanation:

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

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