Directions (Q.1-5): Study the following bar-diagrams carefully and answer the questions given below it. The bar-diagrams represent the total profit (in Rs. crore) and percentage profit of four cosmetics companies during the four years 2010, 2011, 2012 and 2013
1).What is the sum of the expenditures of all the four companies together in the year 2011? (Approximate)
a) Rs. 710 crore
b) Rs. 675.7 crore
c) Rs. 719 crore
d) Rs. 659 crore
e) Rs. 778 crore
2).What is the sum of the incomes of all the four companies in the year 2013?
a) Rs. 1086.67 crore
b) Rs. 897 crore
c) Rs. 1051.6 crore
d) Rs. 959.75 crore
e) None of these
3).The total profit of all the four companies in the year 2010 is approximately what per cent of the sum of their expenditures in the same year?
a) Rs. 25.07%
b) Rs. 21.39%
c) Rs. 17.24%
d) Rs. 19.33%
e) Rs. 14.39%
4).What is the ratio of the sum of the expenditures of Company B during all the given years to that of Company D in the same period?
a) 20:23
b) 23:20
c) 21:25
d) 25:21
e) None of these
5).What is the ratio of the sum of the income of Company C in the year 2011 and 2013 together to that of Company A during the same period?
a) 60:41
b) 210:151
c) 105:101
d) 61:42
e) 41:60
Answers
1).e Expenditure = (Profit×100)/profit%
Expenditure of company A
= 40/25×100 = Rs. 160 crore
Similarly, in B = (50/12.5)×100 = Rs. 400 crore
In Company C = (30/20)×100 = Rs. 150 crore
In Company D = (20/30)×100 = Rs. 66.67 crore
Total expenditure = 160+400+150+66.67 = 776.67 = 778 crore
2). a Income = [profit (100+p %)]/p%
Income of company A = [60(100+40)]/40
= 210 crore
Income B = [50(100+30)]/30 = Rs. 216.67 crore
Income C = [70(100+20)]/20 = Rs. 420 crore
Income D = [40(100+20)]/20 = 240 crore
Total income = 210+216.67+420+240 = Rs. 1086.67 crore
3).c Expenditure of company A2010
= (30×100)/15 = Rs. 200 crore
ExpB= (20×100)/25 = Rs. 80 crore
Expc= (40×100)/20 = Rs. 200 crore
ExpD = (10×100)/10 = Rs. 100 crore
Total expenditure = Rs. 580 crore
Total profit = 30+20+40+10 = Rs. 100 crore
Required % = (100/580)×100 = 17.24%
4). e Required ratio:
= [(20/25)×100+(50/12.5)×100+(20/30)×100+(50/30)×100]/[(10/10)×100+(20/30)×100+(60/20)×100+(40/20)×100]
= [80+400+(200/3)+(500/3)]/[(100+(200/3)+300+200]
= (240+1200+200+500)/3×3/300+200+900+60
= 2140/2000 = 107/100 = 107:100
5).a Required ratio = [(30×120)/20]+[(70×120)/20]/[(40/25)×125)+(60×140)/40]
= (1800+420)/(200+210) = 600/410 = 60:41
1).What is the sum of the expenditures of all the four companies together in the year 2011? (Approximate)
a) Rs. 710 crore
b) Rs. 675.7 crore
c) Rs. 719 crore
d) Rs. 659 crore
e) Rs. 778 crore
2).What is the sum of the incomes of all the four companies in the year 2013?
a) Rs. 1086.67 crore
b) Rs. 897 crore
c) Rs. 1051.6 crore
d) Rs. 959.75 crore
e) None of these
3).The total profit of all the four companies in the year 2010 is approximately what per cent of the sum of their expenditures in the same year?
a) Rs. 25.07%
b) Rs. 21.39%
c) Rs. 17.24%
d) Rs. 19.33%
e) Rs. 14.39%
4).What is the ratio of the sum of the expenditures of Company B during all the given years to that of Company D in the same period?
a) 20:23
b) 23:20
c) 21:25
d) 25:21
e) None of these
5).What is the ratio of the sum of the income of Company C in the year 2011 and 2013 together to that of Company A during the same period?
a) 60:41
b) 210:151
c) 105:101
d) 61:42
e) 41:60
Answers
1).e Expenditure = (Profit×100)/profit%
Expenditure of company A
= 40/25×100 = Rs. 160 crore
Similarly, in B = (50/12.5)×100 = Rs. 400 crore
In Company C = (30/20)×100 = Rs. 150 crore
In Company D = (20/30)×100 = Rs. 66.67 crore
Total expenditure = 160+400+150+66.67 = 776.67 = 778 crore
2). a Income = [profit (100+p %)]/p%
Income of company A = [60(100+40)]/40
= 210 crore
Income B = [50(100+30)]/30 = Rs. 216.67 crore
Income C = [70(100+20)]/20 = Rs. 420 crore
Income D = [40(100+20)]/20 = 240 crore
Total income = 210+216.67+420+240 = Rs. 1086.67 crore
3).c Expenditure of company A2010
= (30×100)/15 = Rs. 200 crore
ExpB= (20×100)/25 = Rs. 80 crore
Expc= (40×100)/20 = Rs. 200 crore
ExpD = (10×100)/10 = Rs. 100 crore
Total expenditure = Rs. 580 crore
Total profit = 30+20+40+10 = Rs. 100 crore
Required % = (100/580)×100 = 17.24%
4). e Required ratio:
= [(20/25)×100+(50/12.5)×100+(20/30)×100+(50/30)×100]/[(10/10)×100+(20/30)×100+(60/20)×100+(40/20)×100]
= [80+400+(200/3)+(500/3)]/[(100+(200/3)+300+200]
= (240+1200+200+500)/3×3/300+200+900+60
= 2140/2000 = 107/100 = 107:100
5).a Required ratio = [(30×120)/20]+[(70×120)/20]/[(40/25)×125)+(60×140)/40]
= (1800+420)/(200+210) = 600/410 = 60:41
