A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
3
Given:
Ratio of the marks scored in papers = 5 : 6 : 7 : 8 : 9 : 10
\(\frac{Sum\ of\ marks\ scored}{Total\ marks}\times 100 = 60\)
Calculation:
Assume maximum marks for each subject = 100
⇒ Total marks in 6 subjects = 600
Now, taking the values of marks scored in each paper as 5x, 6x, 7x, 8x, 9x and 10x
Total marks scored = 5x + 6x + 7x + 8x + 9x +10x
= 45x
Since, Overall Score = 60%
⇒ \(\frac{45\ x }{600}\times 100 = 60\)
⇒ x = 360/45 = 8
Marks obtained in subjects are 40, 48, 56, 64, 72, 80
Now, to score more than 60% in each paper
marks required = \(\frac{60 }{100}\times 100 \) = 60
Marks of three paper i.e. 40, 48 and 56 are less than 60.
Hence, option 2 is correct.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
