Avinash’s monthly salary is ₹50,000 and his monthly expenditure is ₹18,000. Radha’s monthly salary is ₹60,000 and her monthly expenditure is ₹24,000. Find the ratio of Radha’s savings to Avinash’s saving’s.

To find the ratio of Radha’s savings to Avinash’s savings, we first need to calculate the individual savings of both Avinash and Radha.

Savings are calculated using the formula:
$\text{Savings}=\text{Income (Salary)}-\text{Expenditure}$

Step 1: Calculate Avinash’s savings
Avinash’s monthly salary = ₹50,000
Avinash’s monthly expenditure = ₹18,000
$\text{Avinash’s savings}=₹\mathrm{50,000}-₹\mathrm{18,000}=₹\mathrm{32,000}$

Step 2: Calculate Radha’s savings
Radha’s monthly salary = ₹60,000
Radha’s monthly expenditure = ₹24,000
$\text{Radha’s savings}=₹\mathrm{60,000}-₹\mathrm{24,000}=₹\mathrm{36,000}$

Step 3: Find the ratio of Radha’s savings to Avinash’s savings
The required ratio is:
$\frac{\text{Radha’s savings}}{\text{Avinash’s savings}}=\frac{\mathrm{36,000}}{\mathrm{32,000}}$

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4,000:
$\frac{\mathrm{36,000}/\mathrm{4,000}}{\mathrm{32,000}/\mathrm{4,000}}=\frac{9}{8}$

Thus, the ratio of Radha’s savings to Avinash’s savings is 9 : 8.