In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ? Correct Answer 35

Let the total applicants be 100

 

Then, 20% got 85 marks

i.e 20 x 85 = 1700

 

and 25% got 95 marks

 i.e 25 x 95 = 2375

 

Now, the remaining applicants are 55 and let the average marks scored by them be x.

 

Therefore, 2375 + 1700 + 55x  =  60×100 

6000 - 4075 = 55x

55x=1925

x=35.

Bissoy MCQ

Related Questions

Out of 100 students of the class 20 scored an average of 40 marks, 30 scored an average of 50 marks, 50% of the remaining scored an average of 60 marks and the rest scored 100 marks. Find the average marks scored by the students.
Find the appropriate relation for quantity1 and quantity2 in the following question: Quantity 1: In an examination, Ankita scored 35 marks less than Puneeta. Puneeta scored 65 more marks than Meenakshi. Rakhi scored 115 marks, which is 20 marks more than Meenakshi's. Simpy scored 108 marks less than the maximum marks of the test. What approximate percentage of marks did Simpy score in the examination, if she got 67 marks more than Ankita? Quantity 2: The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?
3/8 of all applicants for a job are male. 3/4 of all applicants are rejected in the first round including 2/3 of all male applicants. What fraction of applicants remaining after the first round are male?
In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 95 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
In each of these questions, a question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. What are the marks scored by Abhijit in English? I. Marks scored by Abhijit in Maths are more than his marks in Science by 20. II. Total marks scored by Abhijit in Maths, Science and English are 198. III. Marks scored by Abhijit in Science are more than his marks in English by 12.
In an innings of a cricket match,three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was = ?
In an innings of a cricket match, three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was -
In a cricket match , five batsmen A, B, C, D and E scored an average of 36 runs. D scored 5 more than E, E scored 8 fewer than A, B scored as many as D and E combined, and B and C jointly scored 107. How many runs did E score?
In a cricket match, five batsmen A, B, C, D and E scored an average 36 runs. D scored 5 more than E; E scored 8 fewer than A; B scored as many as D and E combined; and B and C jointly scored 107. How many runs did E score?