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The question you uploaded involves finding A's salary based on the given information about expenditures and savings.

Here’s how we can approach the problem:

1. **Let the salaries of A, B, and C be \( x \), \( y \), and \( z \), respectively.**
   
   The total of their salaries is given as:
   \[
   x + y + z = 72,000 \quad \text{(1)}
   \]

2. **Expenditure of A, B, and C:**
   - A spends 80% of his salary, so his savings are 20% of \( x \).
   - B spends 85% of his salary, so his savings are 15% of \( y \).
   - C spends 75% of his salary, so his savings are 25% of \( z \).

3. **Savings of A, B, and C are in the ratio 8:9:20.**

   This means:
   \[
   \frac{0.2x}{0.15y} = \frac{8}{9} \quad \text{and} \quad \frac{0.2x}{0.25z} = \frac{8}{20}
   \]

   We will solve these ratios to express \( y \) and \( z \) in terms of \( x \).

### Step 1: Solve the ratio equations

Let me calculate the values and find A's salary for you.The salary of A is **Rs. 16,000**.

Would you like any further clarification on how the solution was reached?

Here are 5 additional related questions to deepen your understanding:
1. How can we derive the values for \( y \) and \( z \) given their ratio and salary?
2. What would change if the total salary was different but the savings ratio remained the same?
3. How do we interpret the ratio of expenditures if it were given instead of the savings?
4. Can we verify the solution by calculating the savings for each individual?
5. How would the solution differ if B or C's salary was asked instead of A's?

**Tip:** When solving problems involving ratios, converting everything to a common base (like percentages in this case) can simplify the algebra.

Three persons A, B, and C whose salaries together amount to Rs. 72,000 spend 80%, 85%, and 75% of their salaries respectively. If their savings are in the ratio 8:9:20, then A’s salary is?

Learn how to calculate the salary of A when the total salary of A, B, and C is Rs. 72,000, their spending percentages are 80%, 85%, and 75%, and their savings are in the ratio of 8:9:20. This problem covers key algebraic concepts, including ratios and percentages. Suitable for Grades 10-12.

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