Question
Quantitative Aptitude Question on Ratio
In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11:10:3. Then Anjali's score exceeded Rama's score by
A
24
B
26
C
32
D
35
Answer
32
Explanation
Solution
Their post-review scores are 11x, 10x, and 3x, respectively.
Consequently, their scores prior to the review can be expressed as (11x−6),(10x−6), and (3x−6),respectively.
It is specified that Rama's score equaled one-twelfth of the sum of Mohan and Anjali's scores.
⇒(3x−6)=121[(11x−6)+(10x−6)]
⇒12(3x−6)=21x−12
⇒36x−72=21x−12
⇒36x−21x=72−12=60
⇒x=4
Now, Anjali’s score – Rama’s score =(11x−6)−(3x−6)=8x=32.