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In a class the ratio of rural to urban students is 4 : 7. In an examination the average percentage marks of the rural and the urban
studentsare respectively 65 and 63. Whatis the overall average percentage marks of the class (correct to two decimal places)?
63.73%
65.87%
64.37%
73.63%
- The ratio of rural to urban students is 4:7.
- Average marks for rural students are 65.
- Average marks for urban students are 63.
- To find the overall average percentage, we use the weighted average formula:
$$
\text{Overall average} = \frac{(4 \times 65) + (7 \times 63)}{4 + 7}
- Simplifying, the overall average becomes:
\frac{260 + 441}{11} = \frac{701}{11} = 63.73
- Correct Answer: 63.73% (Option 1)
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