If 15% of A : 25% of B :: 8 : 11, then A : B is equal to ___________.

Solution:

Given:
$15%\text{ of }A : 25%\text{ of }B = 8 : 11$

So,
$\frac{15A}{100} : \frac{25B}{100} = 8 : 11$

Simplify:
$15A : 25B = 8 : 11$

Divide by 5:
$3A : 5B = 8 : 11$

Now,
$\frac{3A}{5B} = \frac{8}{11}$

Cross multiply:
$33A = 40B$

So,
$A : B = 40 : 33$

✅ Final Answer: 40 : 33