Question

Per cent profit earned by two companies producing electronic goods over the years

1. If the profit earned in 2006 by Company B was `8,12,500, what was the total income of the company in that year?
1) `12,50,000
2) `20,62,500
3) `16,50,000
4) `18,25,000
5) None of these

2. 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?
1) 31 : 33
2) 33 : 31
) 34 : 31
4) 14 : 11
5) None of these

3. If the total amount invested by the two companies in 2009 was `27 lakh, while the amount invested by Company B was 50% of the amount invested by Company A, what was the total profit earned by the two companies together?
1) `21.15 lakh
2) `20.70 lakh
3) `18.70 lakh
4) `20.15 lakh
5) None of these

4. If the income of Company A in 2007 and that in 2008 were equal and the amount invested in 2007 was `12 lakh, what was the amount invested in 2008?
1) `10,87,500
2) `10,85,700
3) `12,45,000
4) `12,85,000
5) None of these

5. If the amount of profit earned by Company A in 2006 was `10.15 lakh, what was the total investment?
1) `13.8 lakh
2) `14.9 lakh
3) `15.4 lakh
4) `14.2 lakh
5) None of these

6. If the amount invested by Company B in 2004 is `12 lakhand the income of 2004 is equal to the investment in 2005, what is the amount of profit earned in 2005 by Company B?
1) `6.6 lakh
2) `18.6 lakh
3) `10.23 lakh
4) `9.6 lakh
5) None of these

7. If the investments of Company A in 2007 and 2008 were equal, what is the difference between the profits earned in the two years if the income in 2008 was `24 lakh?
1) `2.25 lakh
2) `3.6 lakh
3) `1.8 lakh
4) `2.6 lakh
5) None of these

8. If each of the companies A and B invested `25 lakh in2010, what was the average profit earned by the two
companies?
1) `18 lakh
2) `22.5 lakh
3) `17.5 lakh

4) `20 lakh
5) None of these

Answer 1

1)  Investment = X
   Profit in 2006 by company B =  65% X = 8,12, 500
     Total income or revenue = 100% X + 65% X = 165% X
               = 8, 12, 500 / 65 * 165 = 20,62, 500
===============================    
2)  Total income of company A = TI_A = (100%+70%) * Investment
     Total income of company B = TI_B = (100%+55%) * investment
       So, TI_A / TI_B = 170/155 = 34/31
==================================
3)   Investment_A = 2 * Investment_B
      investment_B = total_investment / 3

     Profit_A = 80% * investment_A = 160% * investment_B
     profit_B = 75% * investment_B

  total profit = 235% * investment_B = 235% * total_investment / 3
                 = 235/100 * 27 lakh / 3 = 21.15 lakh
========================
4)   income_A_2007 = income_A_2008
     investment_A_2007 = 12 lakh
   income_A_2007 = (100% + 45%) investment_A_2007
                           = 145/100 * 12 lakh = 17.40 lakhs
   income_A_2008 = (100%+60%) investment_A_2008
         17.40 lakhs = 160/100 * investment_A_2008
               answer = 17.40 * 100/160 = 10.875 lakhs
========================
5)  profit of company A = 10.15 lakh = 55% investment
       investment of A = 10.15 * 100/55 = 18.45 lakhs
   if the profit of company B = 10.15 lakh = 65% investment  then
       investment of B = 10.15* 100 /65 = 15.6  lakhs
==================
6)  investment of B in 2004 = 12 lakh
     profit = 55% *12 lakh = 6.60 lakh
     income of B in 2004 :  18.60 lakhs

     investment in 2005 = 18.60 lakh
   profit in 2005 by B :  70% * 18.60 = 13.02 lakhs
 ==============
7)  investment of A in 2007 = investment in 2008
     income in 2008 = 24 lakh = (100%+60%)* investment
     investment = 24 * 100/160 = 15 lakhs
     profit in 2008 - profit in 2007 = 60% * 15 lakhs - 45% * 15 lakhs = 2.25 lakhs
===========
8)  investment by A or by B = 25 lakhs in 2010
     1/2 [ profit by A + profit by B ] = 1/2 [ 90% + 70% ] * 25 lakhs
               =  80/100 * 25 = 20 lakhs