A box contains 140 sweets. These sweets are divided amongst Rahul, Prateek, Arun, and Ashish in the ratio `2:3:4:5`, respectively. Find the percentage of sweets received by each of the four friends. Also, find the number of sweets received by each friend.

Answer

To solve the problem step by step, we will first find the number of sweets received by each friend based on the given ratio, and then we will calculate the percentage of sweets each friend received.

### Step 1: Understand the Ratio
The sweets are divided among Rahul, Prateek, Arun, and Ashish in the ratio of 2:3:4:5.

### Step 2: Calculate the Total Parts in the Ratio
To find out how many parts the total ratio consists of, we add the parts of the ratio:
- Rahul: 2 parts
- Prateek: 3 parts
- Arun: 4 parts
- Ashish: 5 parts

Total parts = 2 + 3 + 4 + 5 = 14 parts

### Step 3: Calculate the Number of Sweets Each Friend Receives
Now we will calculate the number of sweets each friend receives based on the total number of sweets (140).

- **Rahul's share**:
\[ \text{Sweets received by Rahul} = \left(\frac{2}{14}\right) \times 140 = \frac{280}{14} = 20 \text{ sweets} \]

- **Prateek's share**:
\[ \text{Sweets received by Prateek} = \left(\frac{3}{14}\right) \times 140 = \frac{420}{14} = 30 \text{ sweets} \]

- **Arun's share**:
\[ \text{Sweets received by Arun} = \left(\frac{4}{14}\right) \times 140 = \frac{560}{14} = 40 \text{ sweets} \]

- **Ashish's share**:
\[ \text{Sweets received by Ashish} = \left(\frac{5}{14}\right) \times 140 = \frac{700}{14} = 50 \text{ sweets} \]

### Step 4: Calculate the Percentage of Sweets Each Friend Receives
To find the percentage of sweets each friend received, we use the formula:
\[ \text{Percentage} = \left(\frac{\text{Number of sweets received}}{\text{Total number of sweets}}\right) \times 100 \]

- **Rahul's percentage**:
\[ \text{Percentage of sweets received by Rahul} = \left(\frac{20}{140}\right) \times 100 = \frac{2000}{140} \approx 14.29\% \]

- **Prateek's percentage**:
\[ \text{Percentage of sweets received by Prateek} = \left(\frac{30}{140}\right) \times 100 = \frac{3000}{140} \approx 21.43\% \]

- **Arun's percentage**:
\[ \text{Percentage of sweets received by Arun} = \left(\frac{40}{140}\right) \times 100 = \frac{4000}{140} \approx 28.57\% \]

- **Ashish's percentage**:
\[ \text{Percentage of sweets received by Ashish} = \left(\frac{50}{140}\right) \times 100 = \frac{5000}{140} \approx 35.71\% \]

### Final Results
- **Rahul**: 20 sweets, 14.29%
- **Prateek**: 30 sweets, 21.43%
- **Arun**: 40 sweets, 28.57%
- **Ashish**: 50 sweets, 35.71%