Find total from a two-person split: An amount was divided between Kavita and Reena in the ratio 4 : 3. If Reena’s share is Rs. 2400, what is the total amount?

Introduction / Context:This is a classic reverse-ratio question. Knowing one person’s share and the ratio, you can compute the total by finding the value of one ratio part and multiplying by the sum of parts.

Given Data / Assumptions:

• Kavita : Reena = 4 : 3.
• Reena’s share (3 parts) = Rs. 2400.

Concept / Approach:Value per part = 2400 / 3 = 800. Total parts = 4 + 3 = 7. Total amount = 7 * 800.

Step-by-Step Solution:One part = Rs. 800.Total = 7 * 800 = Rs. 5600.

Verification / Alternative check:Shares: Kavita = 4 * 800 = 3200; Reena = 2400; total = 5600; ratio 3200 : 2400 reduces to 4 : 3, correct.

Why Other Options Are Wrong:

• Rs. 3200 is only Kavita’s share, not the total.
• Rs. 9600 contradicts the given share for Reena at 3 parts.

Common Pitfalls:

• Swapping the 4 and 3 or adding incorrectly.

Final Answer:Rs. 5600