A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his savings is $26 : 3$. If his monthly income is ₹ 7250, what is the amount of his monthly savings?

### Concept & Proportional Division When a total amount is divided into two parts with a given ratio, the value of any part is calculated as its ratio proportion divided by the sum of the ratio proportions, multiplied by the total amount. ### Step-by-Step Solution 1. **Given:** Ratio of Expenditure to Savings = $26 : 3$. Total Income = ₹ 7250. 2. Income is the sum of expenditure and savings. 3. Total ratio parts = $26 + 3 = 29$. 4. Value of one ratio part = $7250 / 29$. Since $29 \times 25 = 725$, $7250 / 29 = 250$. 5. Monthly savings correspond to 3 parts. 6. Monthly savings = $3 \times 250 = 750$. ### Exam Strategy & Shortcut The savings must be a multiple of 3. Looking at the options: 290 (no), 350 (no), 750 (yes), 780 (yes). Between 750 and 780, observe that 7250 ends in 50, and dividing by 29 gives a clean 250, pointing to 750 immediately. ### Common Pitfall Calculating the expenditure (26 parts) instead of the savings, or miscalculating the division $7250 / 29$. ### Final Answer Therefore, the correct answer is **₹ 750**.