Question

at what rate per annum simple interest will a sum triple itself in 16 years​

Answer 1

Answer:

Let Rsx be the sum, then according to question, the amount will be Rs3x. Then simple interest will be,

S.I =Amount ×Principal

=3x-x

=2x

The time is given as 16 years

S.I.=P×R×T/100

2x=x×R×16/100

R=2x×100/x×16

R=12.5percent

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Answer 2

Answer:

12 1/2%

Step-by-step explanation:

Let the sum be Rs x .

Then amount = Rs 3x.

S.I.=Amount-Principal=Rs(3x-x)=Rs 2x.

Now P=Rs x,S.I.=Rs 2x and T=16 years

Let the required rate be R% per annum.Then

R=(100*S.I.)/(P*T)=(100*2x)/(x*8)%per annum=25/2%p.a.=12 1/2%p.a.

Hence ,the required rate be 12 1/2% per annum.