A total of 225 playing cards are to be divided among Niharika, Raghav and Varun respectively in the ratio of 2:5:8. How many number of playing cards will Raghav get?

Options

A. 75
B. 85
C. 120
D. 45

Answer

To solve the problem of how many playing cards Raghav will get when 225 cards are divided among Niharika, Raghav, and Varun in the ratio of 2:5:8, follow these steps:

### Step 1: Understand the Ratio
The ratio of cards distributed among Niharika, Raghav, and Varun is given as 2:5:8. This means:
- Niharika gets 2 parts
- Raghav gets 5 parts
- Varun gets 8 parts

### Step 2: Calculate the Total Parts
Add the parts of the ratio together:
\[ 2 + 5 + 8 = 15 \]
So, the total number of parts is 15.

### Step 3: Determine the Value of One Part
Since the total number of playing cards is 225, we can find the value of one part by dividing the total number of cards by the total parts:
\[ \text{Value of one part} = \frac{225}{15} = 15 \]

### Step 4: Calculate Raghav's Share
Raghav's share is represented by 5 parts. To find out how many cards Raghav gets, multiply the value of one part by the number of parts Raghav has:
\[ \text{Raghav's cards} = 5 \times 15 = 75 \]

### Conclusion
Raghav will get **75 playing cards**.

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