Aptitude Questions: Data Interpretation Set 45

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Bank PO Level Questions :-
I. Answer the following questions, based on the following two graphs, assuming that there is no fixed component and all the units produced are sold in the same year.

1. In which year per unit cost is lowest?
   A. 2002
   B. 2003
   C. 2006
   D. 2007
   
   Answer & Explanation

   Answer – C. 2006
   Explanation :
   In the years 2002, 2003, 2006,2007
   [table]

   Unit(x) = Total Revenue/Price	Profit	Cost Price=Revenue-Profit	Cost Per Unit = Cost Price/ Unit
   x=1200/12=> x=100	300	1200-300 =900	900/100 =9
   x=900/12=> x=75	150	900-150 =750	750/75=10
   x=200/10=> x=20	100	200-100=100	100/20=5
   x=700/14=> x=50	200	700-200=500	500/50=10

   [/table]
   

   
   
2. In which year per unit cost is highest?
   A. 2001
   B. 2005
   C. 2006
   D. 2007
   
   Answer & Explanation

   Answer – A. 2001
   Explanation :
   In the years 2001, 2005, 2006,2007
   [table]

   Unit(x) = Total Revenue/Price	Profit	Cost Price=Revenue-Profit	Cost Per Unit = Cost Price/ Unit
   x=1400/14=> x=100	100	1400-100 =1300	1300/100 =13
   x=900/12=> x=75	150	900-150 =750	750/75=10
   x=200/10=> x=20	100	200-100=100	100/20=5
   x=700/14=> x=50	200	700-200=500	500/50=10

   [/table]
   

   
   
3. What is the approximate average quantity sold during the period 2000-2010?
   A. 50%
   B. 60%
   C. 81%
   D. 70%
   
   Answer & Explanation

   Answer – D. 70%
   Explanation :
   [table]

   Years	Unit Price	Revenue	Total Units = Revenue/Unit Price
   2000	10	700	70
   2001	14	1400	100
   2002	12	1200	100
   2003	12	900	75
   2004	11	1100	100
   2005	8	400	50
   2006	10	200	20
   2007	14	700	50
   2008	10	600	60
   2009	10	800	80
   2010	15	900	60
   			Total = 765-> Avg =756/11 =70(approx)

   [/table]
   

   
   
4. What is the average number of total units sold in the years of 2002,2003,2004,2005 and 2008 together?
   A. 88
   B. 66
   C. 77
   D. 44
   
   Answer & Explanation

   Answer – C. 77
   Explanation :
   Average of total units sold in the years of 2002,2003,2004,2005 and 2008 = 100+75+100+50+60/5 =77
   
   
5. If the price per unit decrease by 10% during 2000-2004 and cost per unit increase by 10% during 2005-2010, then the cumulative profit for the entire period 2000-2010 decrease by?
   A. 700
   B. 500
   C. 565
   D. 775
   
   Answer & Explanation

   Answer – D. 775
   Explanation :
   Total decrease in revenue = 10% of (700+1400+1200+900+1100) = 530
   Total decrease in cost = 10% of (250+100+500+600+400+600) = 245
   The cumulative profit for the entire period 2000-2010 decrease by = Total decrease in revenue + Total increase in cost = 530+245 = 775
   
   

II. Refer to Pie Charts and answer the following questions:
Given Data:
Total number of cars (both MUV & SUV) distributed by 8 dealers in 2004 = 56000
Total number of SUV cars distributed by 8 dealers in 2004 = 32000

6. Total number of MUV cars sold by dealers C and H together is by what % less than total number of cars(both SUV and MUV) sold by stores F and H together?
   A. 27.58%
   B. 25.58%
   C. 26.58%
   D. 28.57%
   
   Answer & Explanation

   Answer – D. 28.57%
   Explanation :
   Total no of MUV cars(C & H) = Total no of cars in MUV & SUV(C & H) – Total no of cars in SUV(C & H)
   =(14% + 9%) of 56000 – (7% + 12%) of 32000 = 6800
   Total number of cars(both SUV and MUV) sold by stores F and H together = (8% + 9%) of 56000 = 9520
   % = [(9520 – 6800)/9520]*100 = 28.57%
   
   
   
7. The number of cars( MUV and SUV) sold by store D is by what % more than total number of SUV cars distributed by dealers C, F and G together?
   A. 50%
   B. 25%
   C. 75%
   D. 605
   
   Answer & Explanation

   Answer – B. 25%
   Explanation :
   Number of cars in MUV & SUV for D = 15% of 56000 = 8400
   Total no of SUV cars(C,F,G)= 21% of 32000=6720
   % = [(8400- 6720)/6720)]*100= 25%
   
   
   
8. What is the average number of MUV cars delivered by dealers A, D, E, F and H together?
   A. 2892
   B. 3354
   C. 3634
   D. 3296
   
   Answer & Explanation

   Answer – D. 3296
   Explanation :
   Total no of MUV cars(A,D,E,F,H) = Total no of cars in MUV & SUV(A,D,E,F,H) – Total no of cars in SUV(A,D,E,F,H)
   Total no of MUV cars(A,D,E,F,H) = 70% of 56000 – 71% of 32000 =16480 => Average = 16480/5 =3296
   
   
   
9. What is the respective ratio between total no of SUV cars distributed by dealers A and B together and total number of cars(MUV and SUV) delivered by stores C and F together?
   A. 64:77
   B. 64:79
   C. 54:77
   D. 64:73
   
   Answer & Explanation

   Answer – A. 64:77
   Explanation :
   Total no of SUV cars (A & B) : Total no of cars(MUV & SUV)for C & F
   32% of 32000 : 22% of 56000
   10240 : 12320 = 64:77
   
   
   
10. If the number of cars distributed by stores A, D and E increased by 10%, 35% and 15% respectively from 2004-2005, what was the total number of MUV cars distributed by these three dealers in 2005?
    A. 14964
    B. 15964
    C. 13964
    D. 12964
    
    Answer & Explanation

    Answer – B. 15964
    Explanation :
    In 2005, number of cars (MUV & SUV) for A, D, E = [ 110% of 18% of 56000 + 135% of 15% of 56000 + 115% of 20% of 56000] = 35308
    In 2005, number of cars SUV for A, D, E = [ 110% of 16% of 32000 + 135% of 13% of 32000 + 115% of 22% of 30000] = 19344
    Total number of MUV cars distributed by these three dealers in 2005 = 35308 – 19344 =15964