Question

at what rate % per anumum s.i will a sum of money triple of itself in 25 years​

Answer 1

Answer:

8% per annum.

Step-by-step explanation:

Y = 25 yrs. P = Principal, % is percent, I = interest. A = yearly amount.

P/Y = A x 2 = I, I/P x 100 = %. Total = P + (P x % x Y)

E.g. P = $10,000, 10,000/25 = $400 x 2 = $800 interest/year.

800/10,000 x 100 = 8/100 x 100 = 8% per annum.

Total = $10,000 + (10000 x 8% x 25) = 10,000+ (10000 x 0.08 x 25) = 10,000 + (800 x 25) = 10,000 + 20,000 = $30,000

Using compound interest will be about 4.5%

Answer 2

★Question :-

• At what rate per cent simple interest will a sum of money triple itself in 25 years?

★Given :-

• n = 25 years

• a = 3p

★To find :-

• rate percent

★solution :-

let the principal be p

$:\implies\sf \: a = p + \frac{pnr}{100} \\ \\ \\ :\implies\sf 3p = \frac{p + (p(25)r)}{100} \\ \\ \\ :\implies\sf \: 3p = p (1 + \frac{25r}{100} )$

$:\implies\sf \: 3 = \frac{(100 + 25x)}{100} \\ \\ \\:\implies\sf \: 300 = 100 + 25x \\ \\ \\ :\implies\sf \: 25x = 200 \\ \\ \\ :\implies\sf \cancel \frac{200}{25} = 8$

$\\ \\ \\ :\implies\sf \: r =8$

so therefore rate percent is 8%