Question

A sum lent at compound interest amounted to
18700 at the end of 3 years and to 20570 at the
end of 6 years. Find the sum (in rs).​

Answer 1

Answer:

17000

Step-by-step explanation:

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20570 = s(1+ r/100)^6

18700 s(1+ r/100)^3

---------- = ---------------------

20570 s(1+ r/100)^6

1870/2057 = (1+r/100)^(-3)

10/11 = (1+r/100)^(-3)

11/10 = (1 + r/100)^(3)

11/10 = [(100 + r)/100]^(3)

11/10 = (100 + r)^3 /100*100*100

1100000 = (100 + r)^3

(100 + r) = (1100000)^(1/3)

(100+r) = 103.23

r = 3.23 %

18700 = s(1+3.23/100)^3

18700 = s(1+0.0323)^3

s = (18700)/1.1

= 17000 approx

Answer 2

Answer:

17,000 rs

Step-by-step explanation: