Question

a sum of money double itself in 6 years whar rate of interest
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Answer 1

Step-by-step explanation:

Let the sum of money that's principal be x.

Time = 6years

Amount after 6 years becomes double = 2x

Therefor, Simple Interest = Amount - Principal = 2x-x = x

Rate per annum = SI×100/ P×T = x×100/x×6 = 100/6 = 50/3 = 16.66 % approx

Hope that helps

Answer 2

Solution:-

$let \: \: the \: sum \: be \: x$

when amount = 2x

Then,

$p = x \: a = 2 \: si = a.p = x$

T = 6 years

$r = \frac{(100 \times 25)}{x \times 6} p.a = \frac{50}{3} \%$

16.66%

Hence proved