Total number of students studying Art from institutes `A` and `B` togethr is approximately,what per cent of total number of students studying Computer Science from these two institutes?

Options

A. `84 %`
B. `85 %`
C. 88 %`
D. ` 95 %`

Answer

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

### Step 1: Identify the number of students studying Art from institutes A and B.
- From the data provided, the number of students studying Art in institute A is 350, and in institute B is 240.
- Therefore, the total number of students studying Art from institutes A and B together is:
\[ \text{Total Art Students} = 350 + 240 = 590 \]

### Step 2: Identify the number of students studying Computer Science from institutes A and B.
- From the data provided, the number of students studying Computer Science in institute A is 300, and in institute B is 320.
- Therefore, the total number of students studying Computer Science from institutes A and B together is:
\[ \text{Total CS Students} = 300 + 320 = 620 \]

### Step 3: Calculate the percentage of Art students in relation to Computer Science students.
- To find out what percentage the total number of Art students is of the total number of Computer Science students, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Total Art Students}}{\text{Total CS Students}} \right) \times 100 \]
- Substituting the values we calculated:
\[ \text{Percentage} = \left( \frac{590}{620} \right) \times 100 \]

### Step 4: Simplify the calculation.
- First, we can simplify the fraction:
\[ \frac{590}{620} = \frac{5900}{6200} \quad (\text{Multiplying both numerator and denominator by 10}) \]
- Now, we can cancel out the zeros:
\[ = \frac{5900}{62} \]

### Step 5: Perform the division.
- Now we divide 5900 by 62:
\[ 5900 \div 62 \approx 95.16 \]

### Step 6: Round to the nearest whole number.
- Since the question asks for the approximate percentage, we round 95.16 to 95%.

### Final Answer:
The total number of students studying Art from institutes A and B together is approximately **95%** of the total number of students studying Computer Science from these two institutes.

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