HirePro Line Graph Quiz 1

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 Charlie from Tesla in 2003 = 25000 x 12 x 1/100
Interests earned by Charlie from Tesla in 2003 = 250 x 12 = 3000
Total amount in the end of year 2003 = 25000 + 3000 = 28000
Interests earned by Charlie from Microsoft in 2004 = 28000 x 14 x 1/100
Interests earned by Charlie from Microsoft in 2004 = 280 x 14
Interests earned by Charlie from Microsoft in 2004 = 3920
Total interests accrued by Charlie in 2003 and 2004 from Tesla and Microsoft = 3000 + 3920
Total interests accrued by Charlie in 2003 and 2004 from Tesla and Microsoft = 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 Atulya in 2007 from Tesla = 12000 x 15 x 1/100
Interests accrued by Atulya in 2007 from Microsoft = 15000 x 14 x 1/100
Total interests accrued by Atulya in 2007 from Tesla and Microsoft = ( 12000 x 15 x 1/100 ) + (15000 x 14 x 1/100 )
Total interests accrued by Atulya in 2007 from Tesla and Microsoft = ( 120 x 15 ) + (150 x 14 )
Total interests accrued by Atulya in 2007 from Tesla and Microsoft = 1800 + 2100
Total interests accrued by Atulya in 2007 from Tesla and Microsoft = 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 Tesla in 2006,
Principle amount = 10000
Rate of interest = 13.5 % ( As per the given graph for Tesla in 2006)
Time = 1 year
The interest amount received by Aashay in 2007 I = P x R x t
The interest amount received by Aashay 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 Aashay in 2007 = Interest amount + Principal amount = 10000 + 1350 = 11350
Again For Tesla in 2007,
Principle amount = 11350
Rate of interest = 14% ( As per the given graph for Tesla in 2007)
Time = 1 year
The interest amount received by Aashay in 2008 I = P x R x t
The interest amount received by Aashay in 2008 = 11350 x 14 x 1/100 = 1589
Total amount received by Aashay in 2008 = Interest amount + Principal amount = 11350+ 1589 = 12939
Hence, their interest = 12939 - 10000 = 2939
For Microsoft in 2006,
Principle amount = 10000
Rate of interest = 11.5 % ( As per the given graph for Microsoft in 2006)
Time = 1 year
The interest amount received by Aashay in 2007 I = P x R x t
The interest amount received by Aashay 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 Aashay in 2007 = Interest amount + Principal amount = 10000 + 1150 = 11150
Again For Microsoft in 2007,
Principle amount = 11150
Rate of interest = 16% ( As per the given graph for Microsoft in 2007)
Time = 1 year
The interest amount received by Aashay in 2008, I = P x R x t
The interest amount received by Aashay in 2008 = 11150 x 16 x 1/100 = 1784
Total amount received by Aashay in 2008 = Interest amount + Principal amount = 11150+ 1784 = 12934
Since, their interest = 12934 - 10000 = Rs. 2934
Hence, the difference between the interests earned = 2939 - 2934 = Rs. 5
If Aashay had invested the amount in Microsoft for both years then he would get Rs. 5 less.

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 Microsoft = 20000 x 145 x 1/100 = 2900
Hence, their amount = 20000 + 2900 = Rs. 22900
Interest will be received in 2010 from Tesla = 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 Will Smith in 2007 = 15000[(1 + 15/100)^{2} - 1]
= 15000[(115/100)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

Let the income of the two individuals in 1998 be P.
Expenditure of Company A in 1998 ( E1 ) =P\times \frac{100}{100+35}
Expenditure of Company B in 1998 ( E2 ) =P\times \frac{100}{100+30}
Ratio of their expenditures = E1 : E2 =\frac{100}{135}\times \frac{130}{100}=26:27

Given in question :- Income of Company A in 2002 = $ 600 billion
As per given line graph Profit = 60%
Use the below formula to calculate the Expenditure.
Expenditure of Company A in 2002 = Income of Company A in 2002 x\frac{100}{100+%profit}
Expenditure of Company A in 2002 = 600\times \frac{100}{160} =$ 375 billion

We can not find out the amount of profit in 1998, we do not know the income and expenditure of A and B

Required % Increase in Profit =\frac{Total increase in profit}{Initial profit}x100%
Required % Increase in Profit =\frac{Profit in 2001 - Profit in 2000}{Profit in 2000}x100%

% Increase in Profit =(35-20)/20 x100%

As per given line graph,
Percentage Profit in 2000 by Company B = 20 %
As per given question,
Expenditure of Company B in 2000 = 200 billion $
Use the below formula to calculate the Income of company in 2000
Income of Company B in 2000 = Expenditure of Company B in 2000 x \frac{100 + % Profit }{100}
Income of Company B in 2000 =200 x 120/100= $ 240 billion