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Let's break down the problem step by step from the image you provided:

The problem deals with fractions of mangoes that are either ripped or unsplit, and various scenarios around this.

### Part (i): 
The first question asks:
**What fraction of the total stock of mangoes was unspoilt?**
- The problem states that \( \frac{1}{4} \) of the stock was spoilt.
- Therefore, the fraction of mangoes that are unspoilt is \( 1 - \frac{1}{4} = \frac{3}{4} \).

### Part (ii):
**What fraction of the total stock of mangoes was ripped?**
- According to the question, \( \frac{1}{9} \) of the unspoilt mangoes was ripped.
- Since \( \frac{3}{4} \) of the total mangoes are unspoilt, the fraction of mangoes that are ripped is:
  \[
  \frac{1}{9} \times \frac{3}{4} = \frac{3}{36} = \frac{1}{12}
  \]

### Part (iii):
**If \( \frac{1}{6} \) of raw mangoes were ripped now, what fraction of the total stock of mangoes was ripped now?**
- The fraction of the total stock of mangoes that are raw is \( 1 - \left(\frac{1}{4} + \frac{1}{12}\right) \). Let's calculate that:
  \[
  \text{Fraction of raw mangoes} = 1 - \left(\frac{1}{4} + \frac{1}{12}\right) = 1 - \frac{3}{12} - \frac{1}{12} = 1 - \frac{4}{12} = \frac{8}{12} = \frac{2}{3}
  \]
- Now, \( \frac{1}{6} \) of these raw mangoes were ripped, so the fraction of total stock ripped is:
  \[
  \frac{1}{6} \times \frac{2}{3} = \frac{2}{18} = \frac{1}{9}
  \]

### Part (iv):
**Now the number of raw mangoes was 100 more than the number of ripped mangoes. Find the total number of mangoes.**
- This question appears to introduce some absolute numbers (like "100 more"), and it requires more calculation based on assumptions of total mangoes. Based on previous parts, the ripped mangoes and raw mangoes are related by fractions. If you'd like, I can help walk through the algebra behind this part.

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Would you like detailed steps for part (iv) or have questions on the previous parts? Here are some related questions you might consider:

1. How do you calculate the fraction of unspoilt mangoes if given other types of damage?
2. How would you calculate the total number of mangoes if given another absolute number of either ripped or raw mangoes?
3. What changes if the proportion of unspoilt mangoes becomes less than half?
4. How would you check if a mistake was made when multiplying fractions in such questions?
5. How could this problem change if different percentages or fractions were given?

**Tip**: Always reduce fractions to their simplest form to make calculation and comparison easier!

A fruit seller bought a stock of mangoes. 1/4 of the stock was spoilt and the rest was separated as raw mangoes. What fraction of the total stock of mangoes was unspoilt, ripped, and how many raw mangoes were there?

Learn how to calculate the fraction of unspoilt and ripped mangoes based on given conditions about a stock of mangoes. This involves applying fractions and simple multiplication to solve parts of the problem. Suitable for students in Grades 6-8.

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