Question : In a class of 70 students, 70% are girls and the remaining are boys. If the average of the girls' marks is 30 and that of the boys is 40, what is the average mark for the whole class?
Option 1: 33
Option 2: 38
Option 3: 30
Option 4: 35
Correct Answer: 33
Solution :
Total students = 70
Total girls = $\frac{70}{100}\times70=49$
Total boys = 70 – 49 = 21
Sum of marks of girls = 49 × 30 = 1470
Sum of marks of boys = 21 × 40 = 840
Sum of marks of the class = 1470 + 840 = 2310
Average of class = $\frac{\text{Sum of marks of the class}}{\text{Total Students}}$ = $\frac{2310}{70}=33$
Hence, the correct answer is 33.
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