Simplify the following ratios and solve for the missing value: a) 30:54 b) 20:40 c) 45:125 d) A:B = 2:3, if A=30 e) Share sh. 190 in the ratio 2:3.

The ratio is $\boxed{\text{5:9}}$.

The ratio is $\boxed{\text{1:2}}$.

The ratio is $\boxed{\text{9:25}}$.

The value of B is $\boxed{45}$.

First share: $2 \times \text{sh. } 38 = \text{sh. } 76$
Second share: $3 \times \text{sh. } 38 = \text{sh. } 114$
The shares are $\boxed{\text{sh. } 76 \text{ and sh. } 114}$.

First share: $2 \times 187 \text{ kg} = 374 \text{ kg}$
Second share: $3 \times 187 \text{ kg} = 561 \text{ kg}$
Third share: $5 \times 187 \text{ kg} = 935 \text{ kg}$
The shares are $\boxed{374 \text{ kg, } 561 \text{ kg, and } 935 \text{ kg}}$.

The value of S is $\boxed{100}$.

The value of K is $\boxed{42}$.

(Assuming the question meant to find N, as P is given).

The value of N is $\boxed{14}$.

j)
The question asks to find P, but P is not present in the given equation $\frac{x}{y} = \frac{2}{13}$. This question is incomplete or contains a typo. If it meant to find the ratio $\frac{x}{y}$, then it is already given.

k)
The question asks to find n, but the value of m is not given. This question is incomplete or contains a typo.

l)

The value of Q is $\boxed{2.5}$.

m)

The simplified ratio is $\boxed{\text{1:3}}$.

n)

The simplified ratio is $\boxed{\text{2:9}}$.

o)

The value of A is $\boxed{80}$.

p)

The value of A is $\boxed{225}$.

q)

The value of T is $\boxed{242}$.

r)