A sum of money at simple interest trebles itself in 15 years. It will become 5 t

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Question

A sum of money at simple interest trebles itself in 15 years. It will become 5 times of itself in

Options:

A . 36 years

B . 40 years

C . 25 years

D . 30 years

Answer: Option D
Answer: (d)Let the principal be x.Case-I$2x = {x × R × 15}/100$R = ${2 × 100}/15 = 40/3%$Case-IISI = 4x$4x = {x × 40 × T}/300$T = ${4 × 300}/40 = 30$ yearsUsing Rule 3,R = ${(3 - 1)}/15 × 100%$= $2/15 × 100%$= $2/3 × 20% = 40/3%$T = ${(n - 1)}/R$ Years= ${(5 - 1)}/{40/3} × 100$ = 30 years.

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