In a cricket coaching camp, 1200 children are trained. Out of which 900 are selected for various matches. Ratio of non-selected children to the total number of children is ________ .

Options

A. `300: 120`
B. `4:1`
C. `1:4`
D. `120: 300`

Answer

To find the ratio of non-selected children to the total number of children in the cricket coaching camp, we can follow these steps:

### Step 1: Determine the total number of children
The total number of children trained in the cricket coaching camp is given as:
\[ \text{Total children} = 1200 \]

### Step 2: Determine the number of selected children
The number of children selected for various matches is given as:
\[ \text{Selected children} = 900 \]

### Step 3: Calculate the number of non-selected children
To find the number of non-selected children, we subtract the number of selected children from the total number of children:
\[ \text{Non-selected children} = \text{Total children} - \text{Selected children} \]
\[ \text{Non-selected children} = 1200 - 900 = 300 \]

### Step 4: Write the ratio of non-selected children to total children
Now, we can express the ratio of non-selected children to the total number of children:
\[ \text{Ratio} = \frac{\text{Non-selected children}}{\text{Total children}} = \frac{300}{1200} \]

### Step 5: Simplify the ratio
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 300:
\[ \frac{300 \div 300}{1200 \div 300} = \frac{1}{4} \]

### Final Answer
Thus, the ratio of non-selected children to the total number of children is:
\[ \frac{1}{4} \]

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