Question

the SI on a sum of money is 1/9th of the principal and the number of years is equal to the rate per cent p. a. find the rate percent​

Answer 1

Answer:

rate is 10/3%

I hope u understood

Answer 2

Given:

• The S.I. on a sum of money is 1/9th of the principal.

• Time = Rate

To find out:

Find the rate %.

Formula used:

$\sf \boxed{S.I = \frac{P \times R \times T}{100} }$

Solution:

Let the sum be Rs. P, time be x years and rate of interest be x %.

Then,S.I . = P/9.

Now,

$S.I = \frac{P \times R \times T}{100}$

$\rightarrow \: \frac{P}{9} = \frac{P \times x \times x}{100}$

$\rightarrow \frac{P}{9} = \frac{P \times {x}^{2} }{100}$

$\rightarrow {x}^{2} = \frac{100 \times P}{9 \times P}$

$\rightarrow {x}^{2} = \frac{100}{9}$

$\rightarrow \: x = \sqrt{\frac{100}{9}}$

$\rightarrow \: x = \frac{10}{3}$

$\rightarrow \: x = 3 \frac{1}{3}$

Hence, Rate % p.a. = 3⅓.