Question

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Answer 1

Let the Principal amount be P

As per the question, the Amount at the end ( Sum) =  1.5P

So, Interest = 1.5P - P = 0.5P

As, SI = PRT /100

So, 0.5P = (P * 10 * T)/100 = (PT)/10

So, (PT)/10 = 0.5 P

So, T/10 = 0.5 P /P

So, T/10 = 0.5

Therefore, T = 0.5 * 10 = 5

Therefore,

Answer : 5 years

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Answer 2

Let the principal be 'x'.

Then, Amount = 1.5 x.

Given, r = 10%.

We know that A = P(1 + rt/100)

⇒ 1.5x = x(1 + 10 * t/100)

⇒ 1.5 = (1 + 10 * t/100)

⇒ 1.5 = (1 + t/10)

⇒ 1.5 = 10 + t/10

⇒ 15 = 10 + t

⇒ t = 5 years.

Therefore, time = 5 years.

Hope it helps!