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SSC Selection Post 2020 PYQ — Question 56

SSC Selection Post - Matriculation Level 2020 - 9 Nov 2020 - Shift 1 • Quantitative Aptitude • Q56

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The ratio of marks obtained by two students A and B is 6 : 5. The sum of their marks is 440. If the average of their percentage marks is 55, then the maximum marks for which the examination was conducted were:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 400.

Let A : B = 6 : 5 ⇒ A = 240, B = 200 (since 6x + 5x = 440 ⇒ x = 40)

Let T is total marks of exam.

Average % = 55 

55=240+2002T×100⇒440002T=55⇒T=2200055=40055 = \frac{240 + 200}{2T} \times 100 \Rightarrow \frac{44000}{2T} = 55 \Rightarrow T = \frac{22000}{55} = 400