AMCAT Data Interpretation Quiz-1

Difference

= Rs. [(10% of 4.75) - (8% of 4.75)] lakhs

= Rs. (2% of 4.75) lakhs

= Rs. 0.095 lakhs

= Rs. 9500.

Let the amounts invested in 2002 in Companies P and Q be Rs. 8x and Rs. 9x respectively.
Then, interest received after one year from Flipkart = Rs. (6% of 8x)
= 48x / 100
and interest received after one year from Myntra = Rs. (4% of 9x)
= 36x / 100
Therefore Required ratio = (48x / 100) / (36x / 100) = 4:3

Let Rs. x lakhs be invested in Flipkart in 2000, the amount invested in Myntra in 2000 = Rs. (30 - x) lakhs.
Total interest received from the two Companies after 1 year
= Rs. [(7.5% of x) + {9% of (30 - x)}] lakhs
= 2.7 - (1.5x / 100) = 2.43
X = 18

Amount received from Company Flipkart after one year (i.e., in 199) on investing Rs. 12 lakhs in it
= Rs. [12 + (8% of 12)] lakhs
= Rs. 12.96 lakhs.
Amount received from Company Flipkart after one year on investing Rs. 12.96 lakhs in the year 1999
= Rs. [12.96 + (10% of 12.96)] lakhs
= Rs. 14.256.
Appreciation received on investment during the period of two years
= Rs. (14.256 - 12) lakhs
= Rs. 2.256 lakhs
= Rs. 2,25,600.

Amount received from Company Myntra after one year on investment of Rs. 5 lakhs in the year 1996
= Rs. [5 + (6.5% of 5)] lakhs
= Rs. 5.325 lakhs.
Amount received from Company Flipkart after one year on investment of Rs. 5.325 lakhs in the year 1997
= Rs. [5.325 + (9% of 5.325)] lakhs
= Rs. 5.80425 lakhs
= Rs. 5,80,425.

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 SpaceX = 12000 x 15 x 1/100
Interests accrued by Atulya in 2007 from NASA = 15000 x 14 x 1/100
Total interests accrued by Atulya in 2007 from SpaceX and NASA = ( 12000 x 15 x 1/100 ) + (15000 x 14 x 1/100 )
Total interests accrued by Atulya in 2007 from SpaceX and NASA = ( 120 x 15 ) + (150 x 14 )
Total interests accrued by Atulya in 2007 from SpaceX and NASA = 1800 + 2100
Total interests accrued by Atulya in 2007 from SpaceX and NASA = 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 SpaceX in 2006,
Principle amount = 10000
Rate of interest = 11.5 % ( As per given graph for SpaceX 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 SpaceX in 2007,
Principle amount = 11150
Rate of interest = 15 % ( As per given graph for SpaceX 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 15 x 1/100 = 1115 x 15/10 = 1115 x 3/2 = 3345/2 = 1672.5
Total amount received by Aashay in 2008 = Interest amount + Principal amount = 11150+ 1672.5 = 12822.50
Hence, their interest = 12822.50 - 10000 = 2822.50
For NASA in 2006,
Principle amount = 10000
Rate of interest = 13.5 % ( As per given graph for NASA 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 NASA in 2007,
Principle amount = 11350
Rate of interest = 14 % ( As per given graph for NASA 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 = 1135 x 14/10 = 1135 x 7/5 = 227 x 7 = 1589
Total amount received by Aashay 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 Aashay had invested the amount in NASA 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 NASA = 20000 x 145 x 1/100 = 2900
Hence, their amount = 20000 + 2900 = Rs. 22900
Interest will be received in 2010 from SpaceX = 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

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 SpaceX in 2003 = 25000 x 12 x 1/100
Interests earned by Charlie from SpaceX in 2003 = 250 x 12 = 3000
Total amount in the end of year 2003 = 25000 + 3000 = 28000
Interests earned by Charlie from NASA in 2004 = 28000 x 14 x 1/100
Interests earned by Charlie from NASA in 2004 = 280 x 14
Interests earned by Charlie from NASA in 2004 = 3920
Total interests accrued by Charlie in 2003 and 2004 from SpaceX and NASA = 3000 + 3920
Total interests accrued by Charlie in 2003 and 2004 from SpaceX and NASA = Rs. 6920