Simple Interest


Percentages and Its Application III - Concepts
Class - 7th CBSE Subjects
 
 
Concept Explanation
 

Simple Interest

Rightarrow   that the interest is incurred simply on the principal amount   

OR   

Rightarrow   Simple interest is interest that is calculated each year as a fixed percentage of the original amount of money borrowed or invested . 

Formula:

Rightarrow    small Simple;Interest = frac{P X RX T}{100}    ,

where  P = initial amount , R = rate of interest , T =  time 

OR    

Rightarrow    SI = PIN       

where P = principal or initial amount , I = rate of interest in decimal form , N = time or duration    

Illustration: Mr Bector deposited a sum of Rs 5596 at a simple interest for 5 years at 10% rate of interest. Find Simple interest and the Amount.

Solution :   P = 5596 Rs.

          R = 10 %

          T = 5 Years

     small S.I. = frac{P X R XT}{100}= frac{5596 X 10 X 5}{100}= 2798; Rs

Amount = P + SI = 5596 + 2798 = 8394 Rs

Illustration:  Find the simple interest payable on an investment of $ 20000 at 12% p.a. over a period of 4 years ?

Solution :   here P = 20000 ,  R = 12% which is also 0.12  , N = 4 

now , SI = PIN

      SI =  20000times  0.12 times 4   =  9600 

So the simple interest is $9600 

Sample Questions
(More Questions for each concept available in Login)
Question : 1

A man invested one third of his capital at 7% ;one fourth at 8% and the remainder at 10%.if his annual income is Rs.560, the capital is

Right Option : C
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Explanation
Question : 2

A sum invested at 5% simple interest grows to Rs.504 in 4 years the same amount at 10% simple interest in large 2frac{1}{2} years will grow to ________________

Right Option : B
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Explanation
Question : 3

Ajay lent a certain sum of money to Bhanu at 12% per annum under simple interest for 3 yr. The interest received by Ajay is less than the sum by Rs 5760. The whole sum is _________________________

Right Option : D
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Explanation
 
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