A certain sum is divided equally among 50 boys and each boy gets 75. if the same sum is divided equally among 60 boys, how much will each get ?

Answer

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

### Step 1: Calculate the total sum of money
We know that the sum is divided equally among 50 boys, and each boy receives 75 rupees. Therefore, we can calculate the total sum (S) using the formula:

\[ S = \text{Number of boys} \times \text{Amount each boy gets} \]

Substituting the values:

\[ S = 50 \times 75 \]

Calculating this gives:

\[ S = 3750 \text{ rupees} \]

### Step 2: Calculate the amount each boy would get if the sum is divided among 60 boys
Now, we need to find out how much each boy would get if the same sum (3750 rupees) is divided among 60 boys. We can use the formula:

\[ \text{Amount each boy gets} = \frac{\text{Total sum}}{\text{Number of boys}} \]

Substituting the values:

\[ \text{Amount each boy gets} = \frac{3750}{60} \]

### Step 3: Simplify the division
Now, we will simplify the division:

\[ \frac{3750}{60} = \frac{375}{6} \]

Calculating this gives:

\[ 375 \div 6 = 62.5 \]

Thus, each boy will receive:

\[ 62.5 \text{ rupees} \]

### Final Answer
If the same sum is divided equally among 60 boys, each boy will get **62.5 rupees**.

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