Directions (16): Study the following line graph carefully and answer the questions given below:
Assuming that there is no fixed component and all the units produced are sold in the same year.
Assuming that there is no fixed component and all the units produced are sold in the same year.
Ques 1.
In which of the following years is per unit cost the maximum?
1. 2009
2. 2010
3. 2007
4. 2011
5. 2013
4;
Suppose x units are produced in each year
In year 2007:
25 x = 4500
or, x = 180
∵ profit = Rs. 2500
∴ CP = Rs. (45002500) = Rs. 2000
∴ Cost per unit
In year 2008:
20x = 4000
or, x = 200
∵ profit = Rs. 2000
∴ CP = Rs. (40002000) = Rs. 2000
∴ Cost per unit
In year 2009:
30x = 4200
or, x = 140
∵ profit = Rs. 2500
∴ CP = Rs. (42002500) = 1700
∴ Cost per unit
In year 2010:
30x = 5100
or, or x = 170
∵ profit = Rs. 3000
∴ CP = Rs. (5100  3000) = Rs. 12.35
In year 2011:
25x = 4000
or, x = 160
∵ Profit = Rs. 1500
∴ CP = Rs. (40001500) = 2500
∴ Cost per unit
In year 2012:
35x = 3500
or, x = 100
∵ profit = 2500
∴ CP = Rs. (3500  2500) = Rs. 1000
∴ Cost per unit
In year 2013:
25x = 3500
or, x = 140
∵ profit = 2000
∴ CP = Rs. (35002000)= Rs. 1500
∴ Cost per unit
In year 2014:
20x = 4000
or, x = 200
∵ profit = Rs. 3500
∴ CP = Rs. (4000  3500) = Rs. 500
∴ Cost per unit
Hence, in 2011 cost price per unit is the maximum.
Ans : 1;
Average of quantities sold
5;Ques 2.
What is the average cost during the period 2007 to 2014?
1. Rs. 1600.5
2. Rs. 1862.5
3. Rs. 1962.5
4. Rs. 1752.5
5. Rs. 1662.5
Cost = Revenue  Profit
Cost in 2007 = 4500  2500 = 2000
2008 = 4000  2000 = 2000
2009 = 4200  2500 = 1700
2010 = 5100  3000 = 2100
2011 = 4000  1500 = 2500
2012 = 3500  2500 = 1000
2013 = 3500  2000 = 1500
2014 = 4000  3500 = 500Ques 3.
If the SP per unit decreases by 20% during 2007 to 2010 and the cost per unit increases by 20% during 2011 to 2014. then during how many years is there no profit or loss?
1. None
2. One
3. Two
4. Four
5. Three
Ans : 1;
Year

Revenue

Total cost (old revenue – profit)


2007

80% of 4500 = 3600

45002500=2000

2008

80% of 4000 = 3200

40002000=2000

2009

80% of 4200 = 3360

42002500=1700

2010

80% of 5100 = 4080

51003000=2100

2011

4000

120% of (40001500 = 2500) = 3000

2012

3500

120% of (35002500=1000) = 1200

2013

3500

120% of (25001000=15000)=1800

2014

4000

120% of (40003500=500)=600

∴ 'None' is the answer.
3;Ques 4.
What is the average of quantities sold during the period 2008 to 2012?
1. 146
2. 144
3. 154
4. 150
5. 158
Average of quantities sold
5;Ques 5.
if the SP per unit decreased by 25% during 2007 to 2010 and the CP per unit increased by 25% during 2011 to 2014 then the cumulative profit for the entire period 2007 to 2014 decreased by:
1. Rs. 5725
2. Rs. 5125
3. Rs. 5225
4. Rs. 5600
5. Rs. 5825
Total decrease in revenue
= 25% of (4500 + 4000 + 4200 + 5100) = 4450
Total increase in cost
= 25% of (2500 + 1000 + 1500 + 500) = 1375
∴ Decrease in cumulative profit
= Total decrease in recenue + Total increase in cost
= 4450 + 1375 = Rs. 5825
= 25% of (4500 + 4000 + 4200 + 5100) = 4450
Total increase in cost
= 25% of (2500 + 1000 + 1500 + 500) = 1375
∴ Decrease in cumulative profit
= Total decrease in recenue + Total increase in cost
= 4450 + 1375 = Rs. 5825