Maths Quiz

Directions (1-5): Following graph shows the ratio of expenditure to income of two companies A and B during the period of 2001 to 2007?

1. If the expenditure of Company A in 2004 is Rs 36 lakhs, then what is its income in that year?
(1) 42 lakhs
(2) 48 lakhs
(3) 54 lakhs
(4) 60 lakhs
(5) 75 lakhs

2. If the income of Company A in 2002 and expenditure of Company B in the same year is equal to Rs 60 lakhs then what is the difference between their net profit in 2002?
(1) 6 lakhs
(2) 8 lakhs
(3) 10 lakhs
(4) 12 lakhs
(5) None of these

3. If the income of Company A in 2001 and income of Company B in 2005 is Rs 50 lakhs and Rs 80 lakhs respectively then the profit gained by Company A in 2001 is how much percent more than that of the profit gained by Company B in 2005?
(1) 62.5%
(2) 67.5%
(3) 82.5%
(4) 87.5%
(5) 75%

4. Ratio of expenditure to income of Company B in 2004 is how much percent more than that of ratio of expenditure to income of Company A in 2005?
(1) 10%
(2) 20%
(3) 30%
(4) 40%
(5) 50%

5. If income of Company A in 2006 is Rs 75 lakhs then what is the expenditure of Company B in the same year?
(1) 60 lakhs
(2) 75 lakhs
(3) 90 lakhs
(4) 87.5 lakhs
(5) None of these

Directions (6-0): Following line graph shows the expenditure and percentage profit of a company of 2005 to 2010.

6. What is the ratio of income in 2008 and 2010?
(1) 5 : 6
(2) 6 : 7
(3) 7 : 8
(4) 8 : 9
(5) 7 : 9

7. In which year amount of profit is minimum?
(1) 2005
(2) 2006
(3) 2007
(4) 2008
(5) 2009

8. What is the percentage rise in amount of profit gained by Company from 2007 to 2008?
(1) 27%
(2) 36%
(3) 44%
(4) 62.5%
(5) 87.5%

9. Expenditure of Company in year 2008 is how much percent more than that of expenditure in 2006?
(1) 15%
(2) 20%
(3) 25%
(4) 27.5%
(5) 30%

10. Income of Company in 2005 in what percentage of income of Company in 2010?
(1) 200/3%
(2) 279/5%
(3) 105/2%
(4) 403/9%
(5) 320/5%



ANSWERS
Solutions (1-5)
1. 4;  
E/I = 60
I = E/0.6 = 36/0.6 = 60lakhs

2. 2;  
EA/IA = 0.8
EA = 0.8 × 60 = 48 lakhs
PA = 60 – 48 = 12 lakhs
EB/IB = 0.75
IB = EB/0.75 = 80 lakhs
PB = 80 – 60 = 20 lakhs
Difference = 20 – 12 = 8 lakhs

3. 4;
In 2001, EA/IA = 0.4
EA = 0.4 × 50 = 20 lakhs
Profit = 50 – 20 = 30 lakhs
In 2005, EB/IB = 0.8
EB = 0.8 × 80 = 64 lakhs
Profit = 80 – 64 = 16 lakhs
Net profit of A = 30 lakhs and B = 16  lakhs
% = (30 - 16)/16 * 100 = 14/16 * 100 = 87.5%

4. 4;
Ratio of expenditure to income of B in 2004 = 0.7
Ratio of expenditure to income of A in 2005 = 0.5
% =  (0.7 - 0.5)/0.5 * 100 = 40%

5. 5;
Data is not sufficient to find the answer.

Solutions (6-10)

6. 5;
Profit in 2008 = 40% of 75 = 75 ×  = 30 lakhs
Income = 75 + 30 = 105 lakhs
Profit in 2010 = 50% of 90 = 90 × 50/100 = 45 lakhs
Income = 90 + 45 = 135 lakhs
Ratio = 105/135 = 7 : 9

7. 1;
In 2005, profit is only 8 lakhs

8. 5;
Profit in 2007 = 32% of 50 = 50 × 32/100  = 16 lakhs
Profit in 2008 = 40% of 75 = 75 × 40/100 = 30 lakhs
% rise  = (36 - 16)/16 × 100 = 1400/16 = 87.5%

9. 3;
Required percentage = (75 - 60)/60 × 100 = 25%

10. 5;
Profit in 2010 = 50% of 90 = 90 × 50/100 = 45 lakhs
income in 2010 = 90 + 45 = 135 lakhs
Profit in 2005 = 20%  of 40 = 40 × 20/100 = 8 lakhs
income in 2005 = 40 + 8 = 48 lakhs
% = 48/135 × 100 = 320/9 = 320/9 %