Data Interpretation - Table Charts - Discussion

Study the following table and answer the questions.

Classification of 100 Students Based on the Marks Obtained by them in Physics and Chemistry in an Examination.

Subject Marks out of 50
40 and above 30 and above 20 and above 10 and above 0 and above
Physics9328092100
Chemistry4216681100
Average (Aggregate)7277387100

3. 

The percentage of number of students getting at least 60% marks in Chemistry over those getting at least 40% marks in aggregate, is approximately?

[A]. 21%
[B]. 27%
[C]. 29%
[D]. 31%

Answer: Option C

Explanation:

Number of students getting at least 60% marks in Chemistry

    = Number of students getting 30 and above marks in Chemistry

    = 21.

Number of students getting at least 40% marks in aggregate

    = Number of students getting 20 and above marks in aggregate

    = 73.

Required percentage
= ( 21 x 100 ) %
73
= 28.77%
~= 29%.


Vinod Tripathi said: (Mar 8, 2012)  
I didn't get ths caclculation in any way help me in a siple way.

Pradeepika said: (Apr 3, 2012)  
Here they have mentioned that students getting at least 60% marks in chemistry. My question is why can't we take students who scored 40% and above then the calculation will go this way.

Students who scored 30% and above=21.

Students who scored 40% and above=4.

Total = 21+4 = 25.

Similarly for students who scored aggregate marks.

Why it is taken from 20% and above it can go lower.

Or it could be taken directly from 40% and above that means only 7 is taken into consideration.

Shashi said: (Dec 17, 2012)  
At-least consider minimum to minimum so,

60% of chem=50*0.6=30 (so 21).

similarly 40% of agg=50*0.4=20 (so 73).

Finally,

(21/73) *100=28.77==29%.

Banu said: (Sep 17, 2014)  
@Pradeepika.

30 and above i.e. 40 is above 30 only so no need to include 40 and above as it is already in 30 and above.

Rajnish said: (Apr 4, 2015)  
Fast calculation using fraction:

(21/73)*100~(20/70)*100 = (2/7)*100 = (2*1/7)*100 = (2*14.28)*100 = 28.56%.

So answer approximately 29%.

Chandan said: (Oct 10, 2015)  
Why we are not take 50*0.6 equal to 40?

Krishna said: (Feb 22, 2017)  
30 and above marks students comes under 60% = 27 students.
40 and above marks students comes under 20% = 73 students.

Here they are asking " The percentage of number of students getting at least 60% marks in Chemistry over those getting at least 40% marks in aggregate ".

Therefore we calculate 27/73 X 100.

By solving, we will get the answer.

Nandhu said: (Jul 4, 2017)  
Actually (60/100)*50=30...so yu go 30and above in chemistry. now you get 21, keep it safe...then you must go to aggregate atleast40% (40/100)*50=20.

so you go 20and above in aggregate, now, you get 73.

Then you find the required percentage ..(21/73)*100=28.77% ~=29%.

Sushmitha said: (Apr 25, 2018)  
Please, anyone explain this to me.

Farhin said: (May 14, 2019)  
60% of chemistry means (60/100 * 50) =30.
So we have to take 30 above in chemistry i.e =21.
40 % of aggregate means (40/100 *50) = 20.
So we have to take 20 above in aggraget i.e = 73
Now we have to find a percentage so (21/73 *100).
Hence we get (28.77).

Haritha said: (Aug 20, 2019)  
Aggregate score in chemistry is 73.

Geetha said: (Apr 29, 2020)  
Thank you @Farhin.

Anchal said: (Oct 29, 2020)  
Marks that given which is out of 50.
60% of 50 = 30 & 40% of 50 = 20.
For chemistry above 60% i.e above 30 = 21 & for aggregate above 40% i.e above 20 = 73.
Percentage = 2100/73 = 28.76% ~ 29%.

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