Rs 3,600 is divided between Seema, Komal and Rita, such that the ratios of the shares of Seema : Komal `= 1.5 : 2 and ` Komal : Rita `= 2 : 2.5.` Find Rita's share.

Options

A. Rs 1,300
B. Rs 1,500
C. Rs 1,200
D. Rs 1,400

Answer

To solve the problem of dividing Rs 3,600 among Seema, Komal, and Rita based on the given ratios, we can follow these steps:

### Step 1: Understand the Ratios
We have two ratios provided:
1. Seema : Komal = 1.5 : 2
2. Komal : Rita = 2 : 2.5

### Step 2: Convert Ratios to a Common Base
To make calculations easier, we can convert the ratios into whole numbers.

For Seema : Komal = 1.5 : 2, we can multiply both parts by 2 to eliminate the decimal:
- Seema : Komal = 1.5 * 2 : 2 * 2 = 3 : 4

For Komal : Rita = 2 : 2.5, we can multiply both parts by 2 to eliminate the decimal:
- Komal : Rita = 2 * 2 : 2.5 * 2 = 4 : 5

### Step 3: Combine the Ratios
Now we have:
- Seema : Komal = 3 : 4
- Komal : Rita = 4 : 5

To combine these ratios, we need to express them in terms of a common variable for Komal. From the first ratio, we can express Komal as 4 parts.

Thus, we can write:
- Seema = 3 parts
- Komal = 4 parts
- Rita = 5 parts (from the second ratio, where Komal is 4 parts)

### Step 4: Express Total Parts
Now we can express the total parts:
- Total parts = Seema + Komal + Rita = 3 + 4 + 5 = 12 parts

### Step 5: Calculate the Value of Each Part
Now, we need to find the value of each part:
- Total amount = Rs 3,600
- Value of each part = Total amount / Total parts = 3600 / 12 = Rs 300

### Step 6: Find Rita's Share
Rita's share is represented by 5 parts:
- Rita's share = 5 parts * Value of each part = 5 * 300 = Rs 1,500

### Final Answer
Rita's share is Rs 1,500.

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