A certain amount was divided between Kavita and Reena in the ratio 4:3 if Reena's share was Rs.2400 the amount is

Options

A. Rs.5600
B. Rs.3200
C. Rs.9600
D. none of these

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the ratio
The ratio of the amounts received by Kavita and Reena is given as 4:3. This means that for every 4 parts Kavita receives, Reena receives 3 parts.

### Step 2: Identify Reena's share
We know that Reena's share is Rs. 2400. In the ratio, Reena's share corresponds to the 3 parts.

### Step 3: Find the value of one part
To find the value of one part in the ratio, we can divide Reena's share by the number of parts she represents:
\[ \text{Value of one part} = \frac{\text{Reena's share}}{3} = \frac{2400}{3} = 800 \]

### Step 4: Calculate Kavita's share
Kavita's share corresponds to 4 parts in the ratio. Therefore, we can calculate Kavita's share as follows:
\[ \text{Kavita's share} = 4 \times \text{Value of one part} = 4 \times 800 = 3200 \]

### Step 5: Calculate the total amount
The total amount can be calculated by adding Kavita's and Reena's shares together:
\[ \text{Total amount} = \text{Kavita's share} + \text{Reena's share} = 3200 + 2400 = 5600 \]

### Final Answer
The total amount that was divided between Kavita and Reena is Rs. 5600.

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