Thanks for asking question on GMAT section,

Your question was – The following table shows the details of marks secured by Tom, Jerry and Sam in 3 different subjects namely History, Geography and Science. The total marks that each subject is composed of are 150. Look at the table and answer the following questions.

Tom: History – 110, Geography – 100 , Science – 105
Jerry: History – 95 , Geography -105, Science – 115
Sam: History – 115, Geography – 120, Science – 130

i. By what percent did Tom score more than Jerry in History?
ii. Also find out by what percent did Sam secure more marks in Science than Tom?

a. i = 15.78, ii = 23.80
b. i = 16.78, ii = 20.80
c. i = 15, ii = 22.80
d. i = 10.78, ii = 23
e. None of the above

Solution:
Your correct answer is- a

Now read this explanation for more clarifications:

Solution for part (i):
According to the data given in the question,
Marks secured by Tom in History = 110 ……..i
Marks secured by Jerry in History = 95 ……..ii
Maximum marks to be scored in History = 150 ………….iii

From equation i and equation ii, we can that,
Tom secured 15 marks more than Jerry in History…….iv
But, we have to find out the answer in terms of percentage.
∴ Increase in terms of percentage = (15/95) * 100 = 15.78 % …………. Solution for part (i)

Now, solution for part (ii):
According to the data given in the question,
Marks secured by Tom in Science = 105 ……..v
Marks secured by Sam in Science = 130 ……..vi
Maximum marks to be scored in Science = 150 ………….vii
From equation i and equation ii, we can that,
Sam secured 25 marks more than Tom in Science…….viii
But, we have to find out the answer in terms of percentage.
∴ Increase in terms of percentage = (25/105) * 100 = 23.80 % …………. Solution for part (ii)

Hence, the correct answer is option a.