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
For which model is the percentage rise/fall in production from 2000 to 2001 the minimum?
Q
R
S
T
Correct answer is B
The percentage change (rise/fall) in production from 2000 to 2001 for various models is:
For P = [ (176000 - 105000)/105000 x 100 ] % = 67.62%, rise.
For Q = [ (88000 - 52500)/52500 x 100 ] % = 67.62%, rise.
For R = [ (70000 - 66000)/70000 x 100 ] % = 5.71%, fall.
For S = [ (44000 - 35000)/35000 x 100 ] % = 25.71%, rise.
For T = [ (52500 - 44000)/52500 x 100 ] % = 16.19%, fall.
For U = [ (35000 - 22000)/35000 x 100 ] % = 37.14%, fall.
Therefore Minimum percentage rise/fall in production is the case of model R.
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
7,650
9,350
11,850
12,250
Correct answer is 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.
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
140,000
132,000
117,000
105,000
Correct answer is 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 440,000
= 132,000.
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
Total number of cars of models P, Q and T manufactured in 2000 is?
245,000
227,500
210,000
192,500
Correct answer is 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 350,000 = 30% of 350,000 = 105,000.
Q = (45 - 30)% of 350,000 = 15% of 350,000 = 52,500.
R = (65 - 45)% of 350,000 = 20% of 350,000 = 70,000.
S = (75 - 65)% of 350,000 = 10% of 350,000 = 35,000.
T = (90 - 75)% of 350,000 = 15% of 350,000 = 52,500.
U = (100 - 90)% of 350,000 = 10% of 350,000 = 35,000.
In 2001 : Total number of cars produced = 4,40,000.
P = (40 - 0)% of 440,000 = 40% of 440,000 = 176,000.
Q = (60 - 40)% of 440,000 = 20% of 440,000 = 88,000.
R = (75 - 60)% of 440,000 = 15% of 440,000 = 66,000.
S = (85 - 75)% of 440,000 = 10% of 440,000 = 44,000.
T = (95 - 85)% of 440,000 = 10% of 440,000 = 44,000.
U = (100 - 95)% of 440,000 = 5% of 440,000 = 22,000.
Total number of cars of models P, Q and T manufacture in 2000
= (105000 + 52500 + 52500)
= 210,000.
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
What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?
35,500
27,000
22,500
17,500
Correct answer is 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.
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