Math, asked by dracogaming714, 11 hours ago

a sum of money invested at ci compounded annually amounts to rs 24200 at the end of 2 years and to rs 26620 at the end 3 years.find 1)rate of interest 2) sum of money invested 3) c.i for the fourth year

Answers

Answered by amitnrw
0

Given : a sum of money invested at ci compounded annually amounts to rs 24200 at the end of 2 years and to rs 26620 at the end 3 years

To find :

1)rate of interest  

2) sum of money invested  

3) c.i for the fourth year

Solution:

sum of money invested   = P  Rs

Rate of interest = R %

A = P(1 + R/100)ⁿ

A after 2 years = 24200

A after  3 years  = 26620

P(1 + R/100)² = 24200

P(1 + R/100)³ = 26620

=> (1  + R/100)  = 26620/24200

=> 1 + R/100  = 1.1

=> R/100 = 0.1

=> R = 10

Rate of interest = 10 %

P(1 + R/100)² = 24200

=> P ( 1.1)² = 24200

=> P  = 20000

sum of money invested  = 20000  Rs

CI for fourth year

P(1 + R/100)⁴ -  26620

= 20000 ( 1.1)⁴ - 26620

=  29,282 - 26620

=  2662  Rs

c.i for the fourth year is 2662  Rs

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