Question

Ratio of principal and the
amount after 2 yrs is 20:30.find
the rate of simple interest per
year​

Answer 1

Answer:

25%

Step-by-step explanation:

suppose, principal is 20x

and, amount is 30x

then, interest=30x-20x=10x

time 2 year

rate of interest=10x.100/20x.2=25%

Answer 2

Answer:

Rate of simple interest per year is 25%.

Step-by-step explanation:

Given ratio of principle and amount is 20:30.

Let principle be 20x and amount be 30x

We know,

$S.I = \frac{p \times r \times t}{100}$

Where p is principle, r is rate of interest and t is time.

Given,

$t = 2 \: years$

$S.I = \frac{20x \times 2 \times r}{100}$

Now,

$Amount = Principle+ S.I \\ 30x = 20x + \frac{40xr}{100 } \\ 30x - 20x = \frac{40xr}{100 } \\ 30 - 20 = \frac{40r}{100 } \\ r = \frac{10 \times 100}{40} \\ r = 25$

Rate of simple interest per year is 25%.