Seven persons have 20, 30, 40, 50, 60, 70 and 80 chocolates with them. If each of them is given 5 chocolates additionally, what will be the average number of chocolates with them?

Options

A. 50
B. 55
C. 45
D. 60

Answer

To solve the problem step by step, we will calculate the average number of chocolates before and after each person receives additional chocolates.

### Step 1: Calculate the initial total number of chocolates
We start by adding the number of chocolates each person has:
- Chocolates: 20, 30, 40, 50, 60, 70, 80

**Calculation:**
\[ 20 + 30 + 40 + 50 + 60 + 70 + 80 = 350 \]

### Step 2: Calculate the initial average number of chocolates
The average is calculated by dividing the total number of chocolates by the number of persons (which is 7).

**Calculation:**
\[ \text{Initial Average} = \frac{\text{Total Chocolates}}{\text{Number of Persons}} = \frac{350}{7} = 50 \]

### Step 3: Calculate the total number of additional chocolates given
Each person is given 5 additional chocolates. Since there are 7 persons, we calculate the total additional chocolates.

**Calculation:**
\[ \text{Total Additional Chocolates} = 5 \times 7 = 35 \]

### Step 4: Calculate the new total number of chocolates
Now we add the total additional chocolates to the initial total.

**Calculation:**
\[ \text{New Total Chocolates} = \text{Initial Total} + \text{Total Additional Chocolates} = 350 + 35 = 385 \]

### Step 5: Calculate the new average number of chocolates
We calculate the new average by dividing the new total number of chocolates by the number of persons.

**Calculation:**
\[ \text{New Average} = \frac{\text{New Total Chocolates}}{\text{Number of Persons}} = \frac{385}{7} \]

To simplify:
\[ \frac{385}{7} = 55 \]

### Final Answer
The average number of chocolates with them now will be **55**.

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