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A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest. find the sum.

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A sum of money amounts to Rs.6690 after 3 years and to Rs.10,035 after 6 years on compound interest. find the sum.

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Let the sum be Rs.P. then 

P(1+R/100)3=6690…(i) and P(1+R/100)6=10035…(ii) 

On dividing,we get (1+R/100)3=10025/6690=3/2. 

Substituting this value in (i),we get: 

P*3/2=6690 or P=(6690*2/3)=4460 

Hence,the sum is rs.4460.

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