Given,

When a positive integer m is divided by another positive integer n, the remainder obtained is 8.

m/n = 89.32

To Find,

The value of n.

Solution,

Let's solve the question using the given details,

Both m and n are positive integers.

On dividing m/n, we got the product 89.32.

The remainder obtained is 8.

Thus, the value of the sum  = 89.32

m = 89n + 0.32n

The remainder obtained = 0.32

So, the value of n

0.32n = 8

On dividing, we get,

n = 25.

The value of n is 25.

প্রশ্নে বলা হচ্ছে, m কে n দ্বারা ভাগ করলে ভাগশেষ থাকে 8 এবং $\frac{m}{n}$ = 89.32 হলে n =?

দেয়া আছে, $\frac{m}{n}$= 89.32

∴ $\frac{m}{n}$$=\frac{8932}{100}=\frac{2233}{25}$

অর্থাৎ নির্ণেয় n = 25

Let's break down the information given:

When m is divided by n, the remainder is 8. This can be expressed as m = kn + 8, where k is some positive integer.

The division of m by n results in a quotient of 89.32. This can be expressed as m/n = 89.32.

Now, let's use these two pieces of information to solve for n:

m/n = 89.32

We already know that m = kn + 8, so we can substitute this into the equation:

(kn + 8)/n = 89.32

Now, let's simplify this equation:

kn/n + 8/n = 89.32

Since k and n are both positive integers, kn/n simplifies to k. So, we have:

k + 8/n = 89.32

Now, isolate the fraction term:

8/n = 89.32 - k

To solve for n, take the reciprocal of both sides:

n/8 = 1 / (89.32 - k)

Now, let's consider the possible values of k. Since k is a positive integer and m/n is 89.32, k must be 89 when we subtract 8:

k = 89

Now, plug this value of k back into the equation:

n/8 = 1 / (89.32 - 89)

n/8 = 1 / 0.32

Now, solve for n:

n = 8 / 0.32

n = 25

So, the value of n is indeed 25.