**Directions (Q.No.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

**Q.1.What is the sum of the expenditures of all the four companies together in the year 2011? (Approximate)**

b) Rs. 675.7 crore

c) Rs. 719 crore

d) Rs. 659 crore

e) Rs. 778 crore

**Q.2.What is the sum of the incomes of all the four companies in the year 2013?**

b) Rs. 897 crore

c) Rs. 1051.6 crore

d) Rs. 959.75 crore

e) None of these

**Q.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?**

b) Rs. 21.39%

c) Rs. 17.24%

d) Rs. 19.33%

e) Rs. 14.39%

**Q.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?**

b) 23:20

c) 21:25

d) 25:21

e) None of these

**Q.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?**

b) 210:151

c) 105:101

d) 61:42

e) 41:60

**Answers Key with Detailed Explanations:**

**Sol.**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

**Sol.**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

**Sol.**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%

**Sol.**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

**Sol.**5.a Required ratio = [(30×120)/20]+[(70×120)/20]/[(40/25)×125)+(60×140)/40]

= (1800+420)/(200+210) = 600/410 = 60:41

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