The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by
% Profit/Loss = (Income - Expenditure)/Expenditure x 100
Income and Expenditure (in million US $) of five companies in the year 2001.
28.28
30.30
32.32
34.34
Correct answer is B
Let the income of Company Q in 2001 = x million US $.
Then, income of Company in 2001 = ( 110/100 x x ) million US $.
Therefore 110x/100 = 40 => x = ( 400/11 )
i.e., income of Company Q in 2000 = ( 400/11 ) million US $.
Let the expenditure of Company Q in 2000 be E million US $.
Then, 20 = [(400/11) - E]/E x 100 [because %Profit = 20% ]
=> 20 = [ ( 400/11E ) - 1 ] x 100
=> E = 400/11 x 100/120 = 30.30
Therefore Expenditure of Company Q in 2000 = 30.30 million US $.
The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by
% Profit/Loss = (Income - Expenditure)/Expenditure x 100
Income and Expenditure (in million US $) of five companies in the year 2001.
35.75
37.25
38.5
41.25
Correct answer is D
Let the expenditure of Company R in 2000 be X million US $.
Then, expenditure of Company R in 2001 = ( (120/100) x x ) million US $
Therefore 120x/100 = 45 => x = 37.5
i.e., expenditure of Company R in 2000 = 37.5 million US $
Let the income of Company R in 2000 be I million US $.
Then, 10 = (I - 37.5)/37.5 x 100 [ ∵ %Profit in 2000 = 10%]
=> I - 37.5 = 3.75
=> I = 41.25
i.e., Income of Company R in 2000 = 41.25 million US $.
The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by
% Profit/Loss = (Income - Expenditure)/Expenditure x 100
Income and Expenditure (in million US $) of five companies in the year 2001.
Which company earned the maximum percentage profit in the year 2001?
M
N
P
Q
Correct answer is D
The percentage profit/loss in the year 2001 for various comapanies are:
For M = [ (35 - 45)/45 x 100 ] % = -22.22% i.e., Loss = 22.22%
For N = [ (50 - 40)/40 x 100 ] % = 25% i.e., Profit = 25%
For P = [ (40 - 45)/45 x 100 ] % = -11.11% i.e., Loss = 11.11%
For Q = [ (40 - 30)/30 x 100 ] % = 33.33% i.e., Profit = 33.33%
For R = [ (50 - 45)/45 x 100 ] % = 11.11% i.e., Profit = 11.11%
Clearly, the Company Q earned the maximum profit in 2001.
The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by
% Profit/Loss = (Income - Expenditure)/Expenditure x 100
Income and Expenditure (in million US $) of five companies in the year 2001.
5% profit
6.5% profit
4% loss
7% loss
Correct answer is A
Total income of all five companies
= (35 + 50 + 40 + 40 + 50) million US $
= 215 million US $.
Total expenditure of all five companies
= (45 + 40 + 45 + 30 + 45) million US $
= 205 million US $.
Therefore % Profit = [ (215 - 205)/205 x 100 ] % = 4.88% ≈ 5%
The following bar graph shows the Income and Expenditures (in million US $) of five companies in the year 2001. The percent profit or loss of a company is given by
% Profit/Loss = (Income - Expenditure)/Expenditure x 100
Income and Expenditure (in million US $) of five companies in the year 2001.
The companies M and N together had a percentage of profit/loss of?
12% loss
10% loss
10% profit
There was no loss or profit
Correct answer is D
Total income of Companies M and N together
= (35 + 50) million US $
= 85 million US $
Total expenditure of Companies M and N together
= (45 + 40) million US $
= 85 million US $.
Therefore Percent Profit/Loss of companies M and N together
% Profit/Loss = ( (85 - 85)/85 x 100 ) = 0%.
Thus, there was neither loss nor profit for companies M and N together.
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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