একটি পরীক্ষায় পরীক্ষার্থীদের মধ্যে 296 নম্বর পেতে হলে 10% নম্বরের জন্য ফেলা করতে হয়। পরীক্ষার্থীর মোট নম্বর কত ছিল? একটি পরীক্ষায় পরীক্ষার্থীদের মধ্যে 296 নম্বর পেতে হলে 10% নম্বরের জন্য ফেলা করতে হয়। পরীক্ষার্থীর মোট নম্বর কত ছিল? Read more

Steps to Solve

1. Understanding the problem

The problem involves finding the original number before a 10% increase leads to a specified result.

2. Calculate the 10% increase

The result of the increase is given as 296. Since this is the final amount after a 10% increase, we can represent it mathematically as:

$$ \text{Final Amount} = \text{Original Number} + (0.10 \times \text{Original Number}) $$

This can also be written as:

$$ \text{Final Amount} = 1.1 \times \text{Original Number} $$

3. Set up the equation

Since the final amount is 296, we set up the equation:

$$ 1.1 \times \text{Original Number} = 296 $$

4. Solve for the Original Number

Now, divide both sides of the equation by 1.1 to find the original number:

$$ \text{Original Number} = \frac{296}{1.1} $$

5. Calculate the value

Perform the division:

$$ \text{Original Number} = \frac{296}{1.1} \approx 269.09 $$

6. Determine the nearest whole number

Since we want a whole number, we can round 269.09 to 269. Therefore, the answer is:

$$ \text{Original Number} \approx 270 $$