Question

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In how many years will a sum of money treble itself at a rate of 50% ?​

Answer 1

We have,

Let p=x, A=3x.T=10 years,

SI=A−P

=3x−x

=2x

R=

P×T

SI×100

R=

x×10

2x×100

R=20%

Hence, this is answer.

Answer 2

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Let the money be x , and the amount be 2x .

Given that,

Amount = 2x

Principal = x

Rate = 50%

Interest = Amount - Principal

= 2x - x → x

Therefore,

$t = \frac{100 \times i}{p \times \: r } \\ \\ t = \frac{100 \times x}{x \times 50} \\ \\ \frac{100}{50} = 2$

Hence, it will take 2 years

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