Tuesday, 3 September 2013

Example for Simple Interest

Model I 

1. Find simple interest on Rs.1500 at 5% per annum for 2 years.
Solution
Here given that :
P=1500, R=5% , T= 2 years
Then using the formula
Simple Interest(S.I)=

                               = = Rs.150 Ans.

2. What would be the simple interest obtained on an amount of Rs.4540 at the rate of 8 p.c.p.a. after 8 years? 

Solution
Here given that :
P=4540, R=8 , T= 8 years
Then using the formula
Simple Interest(S.I)=

                               = = Rs.2905.6 Ans.
Model II

1. Find out the capital require to earn a monthly interest of Rs.600 at 6% simple interest.

Solution
Interest for 1 month= Rs.600
for 1 year=12*600 = 7200
S.I=7200, R=6% , T= 1 years
Then using the formula
    
      = Rs.1,20,000 Ans

2. Shilpa invests a certain amount at the rate of 6 p.c.p.a. for 5 years. If she obtains a simple interest of Rs.8490 at the end of 5 years, how much amount shilpa invest? 

Solution
Here given that :
=8490, R=6 , T= 5 years
Then using the formula

    
       = 
       = Rs.28300 Ans

Model III

1. Sonia invested an amount of Rs.17500 at the rate of 8 p.c.p.a. After how many years will she obtain the simple interest of 16800 ?

Solution
Here given that :
P=17500, R=8 , T= ?, S.I = 16800
Then using the formula

=
                                  T=12 Ans


2. In how many years will a man get a simple interest Rs.1428 on a principal of Rs. 4080 at the rate of 7 p.c.p.a?
Solution
Here given that :
P=4080, R=7, T= ?, S.I = 1428
Then using the formula

=
                     = 5 Ans
Model IV

1. At what rate percent per annum interest will Rs.2 produce Rs.10 in 50 years?
Solution
P=2, S.I=10, T=50 and R=?
Then using the formula
=
                       =10 % Ans


2. The simple interest accured in 8 years on a principal of Rs.20000 is one tenth the principal. What is the rate of simple interest p.c.p.a?

Solution
=2000

P=20000, S.I=2000, T=8 and R=?
Then using the formula
=
                    R= 1.25 Ans
Model V

1. Sourabhi invested an amount of Rs.16840 at the rate of 6 p.c.p.a for 5 years. What total amount will she obtain with the simple interest at the said rate at the end of 5 years?

Solution
P=16840, R=6, T=5 and A=?
Then using the formula
Amount= Principal + Simple Interest
 Simple Interest(S.I)=
                                =
                           S.I= 5052
A=P+S.I 
   =16840+5052
   = 21892 Ans

2. Shrihari invested an amount of Rs.22400 at simple interest 12 p.c.p.a. How much amount will he get after seven years?
Solution
P=22400, R=12, T=7 and A=?
Then using the formula
Amount= Principal + Simple Interest
 Simple Interest(S.I)=
                                =
                           S.I=41216
A=P+S.I 
   =22400+18816
   = 41216 Ans



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