# Data Interpretation - Table Charts - Discussion

Discussion Forum : Table Charts - Table Chart 3 (Q.No. 5)
Directions to Solve

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

 Student Subject (Max. Marks) Maths Chemistry Physics Geography History Computer Science (150) (130) (120) (100) (60) (40) Ayush 90 50 90 60 70 80 Aman 100 80 80 40 80 70 Sajal 90 60 70 70 90 70 Rohit 80 65 80 80 60 60 Muskan 80 65 85 95 50 90 Tanvi 70 75 65 85 40 60 Tarun 65 35 50 77 80 80

5.
What is the overall percentage of Tarun?
52.5%
55%
60%
63%
Explanation:

Aggregate marks obtained by Tarun

= [ (65% of 150) + (35% of 130) + (50% of 120)

+ ((77% of 100) + (80% of 60) + (80% of 40) ]

= [ 97.5 + 45.5 + 60 + 77 + 48 + 32 ]

= 360.

The maximum marks (of all the six subjects)

= (150 + 130 + 120 + 100 + 60 + 40)

= 600.

 Overall percentage of Tarun = 360 x 100 % = 60%. 600

Discussion:
20 comments Page 2 of 2.

Why do we assume that the subjects are not equal, i.e. they need to be weighted according to the maximum amount of points achievable in each?

I believe that if I achieve 15% in maths and 90% in CS, my overall performance will be 15%+90%/2= 52,5% and not 30,78% (15%x150+90%x40)/190 - after all, this is only fair.

Sticking to my above example, if maths test was 150, and CS was 1000 points, my overall result would be a stunning 80,21%, which I think would be a bit unfair, considering that I have just failed maths miserably.

Let me know what you think.

Varun said:   8 years ago
@Rita.

This 60 you got is average marks of all 6 subs if all subjects are of equal weight. Which is not asked in the question?

We need a percentage of marks (all sub having different weights) so we take aggregate.

Marks and divide by total marks achievable.

Rita said:   9 years ago
No, 360 are marks not % and we can do following calculations.

i.e 360/6 = 60 it is right.

K.niharika said:   9 years ago
It will become 65%.

Jazz said:   9 years ago
@David.

Because 360 are not the marks 360 are the % that's why.

DaVid Kawlni said:   9 years ago
Why not aggregate marks divided by total number of subjects:

i.e. 360/6 = 60.

Chaitanya said:   9 years ago
Percentage calculation simplification:

1% = 00 (two zeros) i.e. if we see one % symbol we can cancel two zeros.

If we find 2% symbols we can cancel zeros.

For ex: 90%150 = 9*15 = 135.

= 99%88 = 87.12.

Banu said:   10 years ago