SBI PO Data Interpretation Series - Set 7

Directions (1-6): 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.

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. (4500-2500) = Rs. 2000

∴ Cost per unit 

In year 2008:

20x = 4000

or, x = 200

∵ profit = Rs. 2000

∴ CP = Rs. (4000-2000) = Rs. 2000

∴ Cost per unit 

 

In year 2009:

30x = 4200

or, x = 140

∵ profit = Rs. 2500

∴ CP = Rs. (4200-2500) = 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. (4000-1500) = 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. (3500-2000)= 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.

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

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 = 500

Ques 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	4500-2500=2000
2008	80% of 4000 = 3200	4000-2000=2000
2009	80% of 4200 = 3360	4200-2500=1700
2010	80% of 5100 = 4080	5100-3000=2100
2011	4000	120% of (4000-1500 = 2500) = 3000
2012	3500	120% of (3500-2500=1000) = 1200
2013	3500	120% of (2500-1000=15000)=1800
2014	4000	120% of (4000-3500=500)=600

∴ 'None' is the answer. 

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

3;
Average of quantities sold

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

5;

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