### Study the following Line chart and the following questions carefully :

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**1. If the profit earned in 2011 by Company Y was Rs. 8,12,500, what was the total income of the Company in that year?**

1.Rs. 12, 50, 000

2.Rs. 20, 62, 500

3.Rs. 16, 50, 000

4.Rs. 18, 25, 000

5.Rs. 17,78,000

**2. If the amount invested by the two Companies in 2010 was equal, what the ratio between total income in 2010 of the Companies X and Y respectively?**

1. 31 : 33

2.33 : 31

3. 34 : 31

4.14 : 11

5. None of these

**3. If the total amount invested by the two Companies in 2014 was Rs. 27 lakhs, while the amount invested by Company Y was 50% of the amount invested by company X, what was the total profit earned by the two Companies together?**

1.Rs. 21. 15 lakhs

2.Rs. 20. 70 lakhs

3.Rs. 18. 70 lakhs

4.Rs. 20. 15 lakhs

5.None of these

**4. If the investments of Company X in 2012 and 2013 were equal. What is the difference between profit earned in two years if the income in 2013 was Rs. 24 lakhs?**

1.Rs. 2. 25 lakhs

2.Rs. 3. 6 lakhs

3.Rs. 1. 8 lakhs

4.Rs. 2. 6 lakhs

5.none of these

**5.If each of the Companies X and Y invested Rs. 25 lakhs in 2015, what was the average profit earned by the two companies?**

1.Rs. 18 lakhs

2.Rs. 22. 5 lakhs

3.Rs. 17. 5 lakhs

4.Rs. 20 lakhs

5.none of these

### Answers and Solutions

**1.2**

Let expenditure =x

65% of x = 8,12,500

x=12,50,000

Income = Expenditure + Profit

= 12,50,000 + 8,12,500

= 20,62,500

**2. 3**

Let the expenditure of X= expenditure of Y= a

Income of X = 170% of a

= 1.7 a

Income of Y= 155% of a

= 1.55 a

Ratio = 1.7//1.55 = 34/31

**3.2**

Let the amount invested by Y =x

And amount invested by X=2x

x+2x=27

x=9

Expenditure of X=2x=18

Expenditure of Y=x=9

Profit earned by X= 75% of 18=13.5

Profit earned by Y= 80% of 9 = 7.2

Total profit earned by two companies = 20.7

**4.1**

Let the investment of X in 2012=x

And investment of X in 2013 =x

Income of X in 2013 =24

Income of X in 2013= 160% of x = 1.6x [ 60% Profit]

1.6 x=24

x =15

profit in 2012= 45% of 15=6.75

profit in 2013= 60% of 15 = 9

Difference = = 2.25

**5.4**

Investment of X in 2015 = 25

Profit of X in 2015 = 90% of 25 = 22.5

Investment of Y in 2015= 25

Profit of Y in 2015 = 70% of 25 = 17.5

Average profit =40/2=20

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