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 students are respectively 65 and 63. What is the overall average percentage marks of the class (correct to two decimal places)?

63.73%

The average percentage marks of rural students = \(\frac{4}{11}\) x 65 = 22.63

The average percentage marks of urban students = \(\frac{7}{11}\) x 63 = 40.1

The overall percentage marks of the class = (23.63 + 40.1) = 63.73 %