Question

a sum of money becomes 8/5 of itself in 5years at a certain rate of interest.find the rate of interest.​

Answer 1

Answer:

$\large\bold\red{32\%}$

Step-by-step explanation:

Let,

• Principal = p

According to question,

• Simple interest, S.I = $\frac{8}{5}p$
• Time , t = 5 yrs.

Now,

Let's assume that,

• Rate of interest p.a = r %

But,

We know that,

$\large \boxed{ \bold \purple{S.I = \frac{p \times r \times t}{100} }}$

Therefore,

We get,

$= > \frac{8}{5} \cancel{ p} = \frac{ \cancel{p} \times r \times 5}{100} \\ \\ = > r = \frac{8 \times 100}{5 \times 5} \\ \\ = > r = 8 \times \frac{100}{25} \\ \\ = > r = 8 \times 4 \\ \\ = > r = 32$

Hence,

Rate of interest p.a = 32%

Answer 2

$\huge{\underline{\underline{\mathfrak{\pink{Answer:}}}}}$

Refer to the attachment!