Data Interpretation

Bar Chart 6

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Bar Chart 6

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Directions to Solve
The bar graph given below shows the percentage distribution of the total production of a car manufacturing company into various models over two years. Study the graph carefully and answer the questions that follow.

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


Question 1
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
E
1,57,500
Correct Answer: Option C

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.

Question 2
For which model the percentage rise/fall in production from 2000 to 2001 was minimum?

A
Q
B
R
C
S
D
T
E
U
Correct Answer: Option B

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.

Question 3
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
E
13,350
Correct Answer: Option C

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.

Question 4
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
E
97,000
Correct Answer: Option B

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.

Question 5
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
E
16,000
Correct Answer: Option A

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.