Monday 24 March 2014

Simple Interest Formula

S.I=[( P X N X R )/ 100 )].
Here,
P = Principle.
R = Rate per annum.
N= Number of years.

simple interest formula and problems
simple interest formula and problems

How to Calculate Simple Interest


What is Interest?
When borrowed a quantity of money from other for the personal or commercial purpose we pay some additional money to him after a certain period of time is called Interest. So we can also call this Interest as<b> Simple Interest. This type of problem is given in Quantitative Aptitude which is a very essential paper in banking exam.
What is Principle?
The money borrowed for a certain time period called<b> Principle or Sum.
What is Amount?
Addition of Simple Interest and Principle is called the amount.
Amount = Principle + Interest.

Simple Interest Formula & Problems 1

A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
           

Simple Interest Formula & Problems 2


Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).
(Xx14x2/100)+[(13900-x)x11x2/100]=3508
=>28x - 22x = 350800 - (13900 x 22)
=>6x = 45000
x = 7500.
So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.

Simple Interest Formula & Problems 3


A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
Principal              
= Rs. [(100 x 4016.25)/(9x5)]                       
= Rs. (401625/45)            
= Rs. 8925.

Simple Interest Formula & Problems 4


How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?

Time = [(100 x 81)/(450x4.5)]      = 4 years.

Simple Interest Formula & Problems 5


 A sum of money gets doubled at 12% per annum. Then find the time?
solution:
 time= 100(n-1)/R
      =100(2-1)/12
      =100/12
      = 25/3 years

Simple Interest Formula & Problems 6


 A person borrows  x $ say $ 5000 for t years say 2 years at r1% say 4% per annum on simple interest. He uses his smartness and lends it to another person at bigger rate r2 % say 6.25% per annum for the same time. then his total gain in this transaction will be

={PT(r2-r1)}/100
= {5000*2(6.25-4)}/100
= 100*2.25
=  $ 225

Simple Interest Formula & Problems 7


The rate of interest on a sum of money is 4% per annum for the first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If the simple interest accrued by the sum for the total period of 9 years is Rs 1120. What is the sum?

Ans= 2000

We suggest you to read Aptitude questions about Pipes and Cisterns

Simple Interest Formula & Problems 8


Two equal amount of money was deposited in two banks, each at 15% per annum, 3.5 years and 5 years respectively. If the difference between the interests is Rs 144, each sum is:

Ans= 640

Simple Interest Formula & Problems 9


If Rs. 64 Amount to Rs. 83.20 in 2 years, what will Rs. 86 amount to in 4 years at the same rate percent per annum?

Ans = 51.60

Simple Interest Formula & Problems 10


If Rs. 750 amounts to Rs. 1000 in 5 years, What will it become in 10 years at S.I?

Ans = 1250

Simple Interest Formula & Problems 11


How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% pa simple interest?

Ans = 56