Compound Interest Different Rates


 
 
Concept Explanation
 

Compound Interest Different Rates

Calculation of Compound Interest when Interest is Compounded Annually but Rates being Different for Different Years:

large Let ;the ;principal; be; P and ;rates; being ;R_1,;R_2,;R_3,;R_4; for;different;years

Amount = P; left [ 1+frac{R_1}{100} right ];times left [ 1+frac{R_2}{100} right ];times left [ 1+frac{R_3}{100} right ]

Illustration: Find the amount after two years compounded annually when rate of interest for first year is 5% and 15% for the next year when the principal is Rs. 4000.

Solution:   large Amount = P; left [ 1+frac{R_1}{100} right ];times left [ 1+frac{R_2}{100} right ];

large Amount = 4000; left [ 1+frac{5}{100} right ];times left [ 1+frac{15}{100} right ]

large Amount = 4000; left [ 1+frac{1}{20} right ];times left [ 1+frac{3}{20} right ]

large Amount = 4000; left [ frac{21}{20} right ];times left [ frac{23}{20} right ]

large Amount= Rs;4830

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

Roger bought a refrigerator for $ 4000 on credit. The rate of interest for the first year is 5% and of the second year is 15%. How much will it cost him if he pays the amount after two years ?

Right Option : B
View Explanation
Explanation
Question : 2

The present population of a town is 25,000. It grows at 4%, 5% and 8% during first year, second year and third year respectively, the population after 3 years is :

Right Option : A
View Explanation
Explanation
Question : 3

A company offers the following growing rates of compound interest annually to the investors on successive years of investment : 4%, 5% and 6%. A man invests Rs 25,000 for 3 years. What will be his gain?

Right Option : D
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
Related Videos
Language - English

Language - English


Students / Parents Reviews [20]