A third of Karim’s marks in Mathematics exceeds a half of his marks in social studies by 30, if Karim got 240 marks in the two subjects together, how many marks did he get in Social Studies?

A 88

B 98

C 132

D 122

Correct Answer: Option C

Let marks of Karim's Mathematics be = m

And, marks of Karim's Social Studies be = s

Then, A/Q,

m/3 - s/2 = 30

(2m - 3s)/6 = 30

2m - 3s = 180 .................. (1)

And, we know that, m+s = 240 ............... (2)

multipying (2) with 2, we get,

2m + 2s = 480 ................. (3)

From (3) - (1), we get,

2m + 2s - 2m +3s = 480 + 180

5s = 660

s = 660/5 = 132