Question

In how many years will a sum of money become 27 times when it trebles itself in 2 years at compound interest?

a) 12years
b) 15years
c) 18years
d) 6 years​

Answer 1

6 years

6 years A=P(1+R /100)n

6 years A=P(1+R /100)n 3P=p(

6 years A=P(1+R /100)n 3P=p(1+R/100)2

6 years A=P(1+R /100)n 3P=p(1+R/100)23=(1+R/100)2

6 years A=P(1+R /100)n 3P=p(1+R/100)23=(1+R/100)2(3)3=(1+R/100)2×3

6 years A=P(1+R /100)n 3P=p(1+R/100)23=(1+R/100)2(3)3=(1+R/100)2×327=(1+R/100)6

6 years A=P(1+R /100)n 3P=p(1+R/100)23=(1+R/100)2(3)3=(1+R/100)2×327=(1+R/100)627p=p(1+R/100)6

6 years A=P(1+R /100)n 3P=p(1+R/100)23=(1+R/100)2(3)3=(1+R/100)2×327=(1+R/100)627p=p(1+R/100)6So, answer is 6 year