In a class of 60 children `30%` children can speak only English, `20%` Hindi and English both and the rest of the children can speak only Hindi. How many children can speak Hindi?

Options

A. 42
B. 36
C. 30
D. 48

Answer

To solve the problem step by step, we will analyze the information given and calculate the number of children who can speak Hindi.

### Step 1: Calculate the number of children who speak only English.
- We know that 30% of the 60 children can speak only English.
- Calculation:
\[ \text{Number of children who speak only English} = 30\% \text{ of } 60 = \frac{30}{100} \times 60 = 18 \]

### Step 2: Calculate the number of children who speak both Hindi and English.
- We know that 20% of the 60 children can speak both Hindi and English.
- Calculation:
\[ \text{Number of children who speak both} = 20\% \text{ of } 60 = \frac{20}{100} \times 60 = 12 \]

### Step 3: Calculate the total number of children who can speak Hindi.
- The children who can speak Hindi include those who speak only Hindi and those who speak both Hindi and English.
- First, we need to find out how many children speak only Hindi.
- Total percentage of children who speak only English and both languages:
\[ \text{Total percentage} = 30\% + 20\% = 50\% \]
- This means that the remaining percentage of children must be those who speak only Hindi:
\[ \text{Percentage of children who speak only Hindi} = 100\% - 50\% = 50\% \]
- Now, we calculate the number of children who speak only Hindi:
\[ \text{Number of children who speak only Hindi} = 50\% \text{ of } 60 = \frac{50}{100} \times 60 = 30 \]

### Step 4: Calculate the total number of children who can speak Hindi.
- Now, we add the number of children who speak only Hindi and those who speak both:
\[ \text{Total number of children who speak Hindi} = \text{Only Hindi} + \text{Both} = 30 + 12 = 42 \]

### Final Answer:
Thus, the total number of children who can speak Hindi is **42**.

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