Seema and Meena divide a sum of ₹ 25000 in the ratio of 3 : 2 respectively. If ₹ 5000 is added to each of their shares, what would be the new ratio formed?

### Concept & Ratio Distribution When a sum is divided in a given ratio, we can find the individual shares by calculating the fractional part of the total sum each ratio unit represents. ### Step-by-Step Solution * The total sum is ₹ 25000, divided in the ratio $3 : 2$. * The sum of the ratio parts is $3 + 2 = 5$. * Seema's initial share = $\frac{3}{5} \times 25000 = 3 \times 5000 = \text{₹ } 15000$. * Meena's initial share = $\frac{2}{5} \times 25000 = 2 \times 5000 = \text{₹ } 10000$. * Now, ₹ 5000 is added to each of their shares. * Seema's new share = $15000 + 5000 = \text{₹ } 20000$. * Meena's new share = $10000 + 5000 = \text{₹ } 15000$. * The new ratio is $20000 : 15000$. * Simplifying by dividing both by 5000, we get $4 : 3$. ### Exam Strategy & Shortcut Notice that ₹ 5000 is exactly equal to 1 ratio part (since 5 parts = 25000). So, adding ₹ 5000 to each share is equivalent to adding 1 to each number in the ratio. The new ratio is simply $(3 + 1) : (2 + 1) = 4 : 3$. ### Common Pitfall Calculating the initial amounts correctly but making an arithmetic error when adding the ₹ 5000 or simplifying the final ratio. ### Final Answer Therefore, the correct answer is **4 : 3**.