Question

At what rate per cent per annum simple interest will a sum treble itself in 16 years?
Hint. Let the sum be * x. Then, amount = 3x. S.I. = (3x - x) = 2x.]​

Answer 1

Step-by-step explanation:

Let the Principal = Rs.x

Then,

Amount = Rs.3x

Intrest = Rs.2x

Equation (1),

$\frac{principal \times rate \times time}{100} = intrest$

From Equation (1), we get,

$rate = \frac{100 \times intrest}{principal \times time}$

Equating values in Equation (2), we get,

$rate = \frac{100 \times 2x}{x \times 16}$

$rate = \frac{100 × 2}{16} = \frac{25}{2}pecent$

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