Average profit made by company A in all the years = Rs. (3 + 5 + 4 + 5 + 6 + 6)lakhs/6
= Rs. 29 /6 ? Rs. 4.83 lakh = Rs. 4,83,000
Expenditure of Company B in 2008 = Rs. 22,11,430 and their profit = Rs. 4,00,000
Since, Income = 22,11,430 + 4,00,000 = Rs. 26,11,630
In 2007, income of Company A = Rs. 13,54,300 and their profit = Rs. 6,00,000
Since, their Expenditure = 13,54,300 - 6,00,000 = Rs. 7,54,300
% Profit made by Company A in the year 2004 = (profit made by A in 2004) x 100/Total profit made by other all 3 companies.
% Profit made by Company A in the year 2004 = 5 x 100/(3 + 5 + 8 ) = 5 x 100/16 = 31.25%
Rwquired percentage = 8 - 7/7 x 100 = 14.28% ? 14%
By visual inspection it is clear that 1992 is the desired year (as the distance between two points is the maximum in 1992).
Hence , Required answer will be 1992.
Simple interest formula I = P x R x T where
P is the Principal amount of money to be invested at an Interest Rate R% per period for T Number of Time Periods.
Interests earned by Gopal from Company A in 2003 = 25000 x 12 x 1/100
Interests earned by Gopal from Company A in 2003 = 250 x 12 = 3000
Total amount in the end of year 2003 = 25000 + 3000 = 28000
Interests earned by Gopal from Company B in 2004 = 28000 x 14 x 1/100
Interests earned by Gopal from Company B in 2004 = 280 x 14
Interests earned by Gopal from Company B in 2004 = 3920
Total interests accrued by Gopal in 2003 and 2004 from company A and company B = 3000 + 3920
Total interests accrued by Gopal in 2003 and 2004 from company A and company B = Rs. 6920
Simple interest formula I = P x R x T where
P is the Principal amount of money to be invested at an Interest Rate R% per period for T Number of Time Periods.
Interests accrued by Saurabh in 2007 from company A = 12000 x 15 x 1/100
Interests accrued by Saurabh in 2007 from company B = 15000 x 14 x 1/100
Total interests accrued by Saurabh in 2007 from company A and company B = ( 12000 x 15 x 1/100 ) + (15000 x 14 x 1/100 )
Total interests accrued by Saurabh in 2007 from company A and company B = ( 120 x 15 ) + (150 x 14 )
Total interests accrued by Saurabh in 2007 from company A and company B = 1800 + 2100
Total interests accrued by Saurabh in 2007 from company A and company B = Rs. 3900
We can apply the formula to calculate the interest amount
I = P x R x t where
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Rate of Interest per year as a percent;
t = Time Period involved in years
For Company A in 2006,
Principle amount = 10000
Rate of interest = 11.5 % ( As per given graph for company A in 2006)
Time = 1 year
The interest amount received by Samir in 2007 I = P x R x t
The interest amount received by Samir in 2007 = 10000 x 11.5 x 1/100= 10000 x 115 x 1/10 x 100 = 10 x 115 = 1150
Total amount received by Samir in 2007 = Interest amount + Principal amount = 10000 + 1150 = 11150
Again For Company A in 2007,
Principle amount = 11150
Rate of interest = 15 % ( As per given graph for company A in 2007)
Time = 1 year
The interest amount received by Samir in 2008 I = P x R x t
The interest amount received by Samir in 2008 = 11150 x 15 x 1/100 = 1115 x 15/10 = 1115 x 3/2 = 3345/2 = 1672.5
Total amount received by Samir in 2008 = Interest amount + Principal amount = 11150+ 1672.5 = 12822.50
Hence, their interest = 12822.50 - 10000 = 2822.50
For Company B in 2006,
Principle amount = 10000
Rate of interest = 13.5 % ( As per given graph for company B in 2006)
Time = 1 year
The interest amount received by Samir in 2007 I = P x R x t
The interest amount received by Samir in 2007 = 10000 x 13.5 x 1/100= 10000 x 135 x 1/10 x 100 = 10 x 135 = 1350
Total amount received by Samir in 2007 = Interest amount + Principal amount = 10000 + 1350 = 11350
Again For Company B in 2007,
Principle amount = 11350
Rate of interest = 14 % ( As per given graph for company B in 2007)
Time = 1 year
The interest amount received by Samir in 2008 I = P x R x t
The interest amount received by Samir in 2008 = 11350 x 14 x 1/100 = 1135 x 14/10 = 1135 x 7/5 = 227 x 7 = 1589
Total amount received by Samir in 2008 = Interest amount + Principal amount = 11350+ 1589 = 12939
Since, their interest = 12939 - 10000 = Rs. 2939
Hence, difference between the interests earned = 2939 - 2822.50 = Rs. 116.50
If Samir had invested the amount in company B for both years then he would get Rs. 116.50 more.
Simple interest formula I = P x R x T where
P is the Principal amount of money to be invested at an Interest Rate R% per period for T Number of Time Periods.
Interest received in 2009 from Company B = 20000 x 145 x 1/100 = 2900
Hence, their amount = 20000 + 2900 = Rs. 22900
Interest will be received in 2010 from company A = 22900 x 12.5 x 1/100 = Rs. 2862.50
Hence, total amount of interests for both years = 2900 + 2860.50 = Rs. 5762.50
Compound interest = P(1 + r)t - P
or Compound interest = P[(1 + r)t - 1]
where P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate
t = the number of years the money is invested or borrowed for.
Required amount of interest earned by Madhava in 2007 = 15000[(1+ 15/100)2 - 1]
= 15000[(115/100)2 - 1]
= 15000[(23/20)2 - 1]
= 15000[(23 x 23 /20 x 20) - 1]
= 15000[ (529/400) - 1]
= 15000[(529 - 400)/400]
= 15000 x 129/400
= 19350/4
= Rs. 4837.50
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