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Quant Quiz On Line Graph DI Day 7 Bag

Quant Quiz On Line Graph DI Day 7 Bag


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Following line graph shows the ratio of  expenditure to income of three companies A, B and C during the period 2008–2013.

Line_Graph

As mentioned above – Reading the headings are important otherwise you will not be able to understand what these lines are all about.

Please observe that – Along Y-Axis are the ratios; Along X-Axis are the years; In between are the lines.

Following Line Graph shows the ratio of expenditure to income of three companies A, B and C.

Learn a few things from the heading:

(1) For Company A in 2008, if Expenditure is Rs 0.9, then Income will be Rs 1, and so on.

(2) It’s Expenditure to Income Ratio expressed as E:I and not Income to Expenditure.

(3) To have Profit, Expenditure is to be less than Income. Reverse is for Loss.

(4) Profit and Loss percentages are calculated using the formulas for the same.

  • Profit = Income – Expenditure
  • Profit Percentage = [Profit/Expenditure]*100
  • Loss = Expenditure – Income
  • Loss Percentage = [Loss/Expenditure]*100

(5) The lower is the E:I ratio, higher is the profit.

The questions of Expenditure and Income seem difficult to solve. But, let’s apply the above mentioned points to solve the questions in no time!

Steps to Solve

Question 1: In which of the following years is the percentage loss/profit of Company C the maximum?

[1] 2008
[2] 2009
[3] 2010
[4] 2011
[5] 2012

Answer 1: Hint: From point no. 5, we conclude that profit is maximum when E:I is minimum which is 0.3 in 2011.
Hence

answer is [4].

Question 2: If the expenditure of Company A in 2008 and 2009 together is Rs 60 lakhs, then what is its income in 2008 and 2009 together?

[1] Rs 120 lakhs
[2] Rs 150 lakhs
[3] Rs 66.66 lakhs
[4] Data inadequate
[5] None of these

Answer 2: Hint: E:I for Company A in 2008 and 2009 is 0.5 and 0.4. This means for Rs 0.5 Expenditure in 2008, Income is Rs 1 in 2008 and for Rs 0.4 Expenditure in 2009, Income is Rs 1 in 2009. But combined Expenditure of 60 lakhs is given. So, ratios being different, it’s not possible to calculate the Income from the combined expenditure.

Answer is [4].

Question 3: If the expenditure of Company B in 2008 and 2012 together is Rs 60 lakhs then what is its income in 2008 and 2012 together?

[1] Rs 66.66 lakhs
[2] Rs 75 lakhs
[3] Rs 48 lakhs
[4] 96 Rs lakhs
[5] Data inadequate

Answer:3 Hint: E:I for 2008 and 2012 is 0.8 and 0.8. Ratios being same, combined Income from the combined Expenditure can be calculated. Income = E/0.8 = 60/0.8 = 75 lakhs.
Answer is [2].

Question 4: In which of the years does Company C gain 100% profit?

[1] 2008
[2] 2009
[3] 2010
[4] 2011
[5] None of these

Answer 4: Hint: For 100% profit, E:I ratio must be 0.5 so that I = E/0.5 = 2E. It’s in 2009.
Answer is [2]

Question 5: What is the percentage decrease in the percentage profit of Company C from 2009 to 2010?

[1] 75%
[2] 300%
[3] 62.5%
[4] 160%
[5] None of these

Answer 5:Hint: E:I of Company C in 2009 = 0.5:1
Profit = 1-0.5 = 0.5
Percentage profit of profit of Company C in 2009 =[0.5/0.5]*100 = 100%
E:I of Company C in 2010 = 0.8:1
Profit = 1-0.8 = 0.2
Percentage profit of profit of Company C in 2009 =[0.2/0.8]*100 = 25%
Percentage decrease = 75%.
Answer is [1].

 

Directions (1-5): Study the following graph carefully to answer these question. 

 

Profit Earned = Total income – Total Investment in the year 
  Per cent profit earned by two companies producing electronic goods over the years

 

Q1. If the profit earned in 2006 by Company B was Rs. 8,12,500, what was the total income of the company in that year?   
(a) Rs. 12,50,000
(b) Rs. 20,62,500
(c) Rs. 16,50,000
(d) Rs. 18,25,000
(e) None of these
Q2. If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the company A to that of B in 2005? 
(a) 31:33
(b) 33:31
(c) 34:31
(d) 14:11
(e) None of these
Q3. If the amount of profit earned by Company A in 2006 was Rs. 10.15 Lakhs, what was the total investment?
(a) Rs. 13.8 Lakhs
(b) Rs. 14.9 Lakhs
(c) Rs. 15.4 Lakhs
(d) Rs. 14.2 Lakhs
(e) None of these
Q4. If the amount invested by Company B in 2004 is Rs. 12 Lakhs and the income of 2004 is equal to the investment in 2005, what is the amount of profit earned in 2005 by Company B?  
(a) Rs. 6.6 Lakhs
(b) Rs. 18.6 Lakhs
(c) Rs. 10.23 Lakhs
(d) Rs. 9.6 Lakhs
(e) None of these
Q5. If each of the companies A and B invested Rs. 25 Lakhs in 2010, what was the average profit earned by the two companies?  
(a) Rs. 18 Lakhs
(b) Rs. 22.5 Lakhs
(c) Rs. 17.5 Lakhs
(d) Rs. 20 Lakhs
(e) None of these
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