# 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

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by ekalavyaachanta

2015-04-06T21:48:42+05:30

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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
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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
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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
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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

Thank you so much sir
there are only two forumlas. profit = profit % * investment. revenue = income = investment + profit = investment + investment * profit %. So income = investment * (100+ % of profit ) / 100. Simple.
The graphs show the profit made by company like 65% 45% etc.. in different years.

You have to read the profit % from the graphs for the company specified. Substitute in the above formulas to get your answers.
1. Profit in 2006 by company B = 65% * investment = 8,12, 500 (given)
So investment = 812500 * 100/65
income = investment + profit
= investment + investment * 65%
= investment * 165/100
= 812500 * 100/65 * 165/100
= 8, 12, 500 / 65 * 165
= 20,62, 500
2. income of company A: investment + profit_A % * investment
= investment * (100 + % profit_A) /100
income of company B = investment * (100 + % profit_B ) /100
ratio : (100 + 70) / (100 + 55), as investment is same for both.