Math, asked by farnajbegum2261, 1 year ago

A certain sum of money amounts to Rs 704 in 2 years and Rs 800 in 5 years. find the rate of interest per annum

Answers

Answered by amitnrw
4

Given  :  A certain sum of money amounts to Rs 704 in 2 years and Rs 800 in 5 years.

To Find :  Rate of Interest  per annum

Solution:

Assuming Simple interest

SI = P * R * T /100

Principle = P

Rate of interest = R % per annum

=>  P + P* R * 2 /100  = 704

     P +  P* R * 5 /100  = 800

=>  3PR/100 = 96

=> PR = 3200

P + P* R * 2 /100  = 704

=> P  + 3200 x 2 /100 = 704

=> P  =  704 - 64

=> P = 640

PR = 3200

=> 640 R = 320

=> R = 5 %  

rate of interest per annum = 5 %

Assuming compound interest

704 in 2 years and Rs 800 in 5 years

=> 704 in 3 years becomes = 800

=> 704 ( 1 + R/100)³ = 800

=> 1 + R/100 = 1.04353

=> R/100  = 0.04353

=> R = 4.353 %  

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