Question : The ratio of marks obtained by Rajesh, Rakesh, and Ramesh in an exam is 2 : 4 : 9.
What are the marks obtained by Rakesh and Ramesh, if Rajesh scored 30 marks in the exam?
Option 1: Rakesh = 40, Ramesh = 90
Option 2: Rakesh = 60, Ramesh = 135
Option 3: Rakesh = 120, Ramesh = 180
Option 4: Rakesh = 90, Ramesh = 40
Correct Answer: Rakesh = 60, Ramesh = 135
Solution :
Let us assume that the marks secured by Rajesh, Rakesh, and Ramesh are $2x,4x, \text{ and }9x$ respectively.
Given that Rajesh scored 30 marks in the exam.
⇒ $2x=30$
⇒ $x=15$
Marks scored by Rakesh $=4x=4\times 15=60$
Marks scored by Ramesh$=9x=9\times15=135$
Hence, the correct answer is "Rakesh = 60, Ramesh = 135".
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