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Out of the four annual examinations, each with a total of 200 marks, a student secured average marks of 45%, 50% and 55% in the first, second and third annual examinations. To have an overall average of 60%, how many marks does the student need to secure in the fourth annual examination?
160
170
180
190
Let the average marks in the third Annual examination be x. Total marks = (Marks in first + second + third + forth) Annual examination 4(60)(200/100)=(45/100)(200)+(50/100)(200)+(55/100)(200)+(x/100)(200) 4(60)=45+50+55+x x=90 So, the student must score 90% in the fourth annual examination to secure 60% overall average. ∴ Average marks in the fourth annual examination (90100)×200=180 marks.
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