The scores of Adam and Bob on a test were in the ratio 11 : 14. After

Question

The scores of Adam and Bob on a test were in the ratio 11 : 14. After an appeal, each of their scores increased by x points and their new scores were in the ratio 47 : 56. What is the ratio of Bob’s new score to Bob's original score?

A. 3 : 2
B. 4 : 3
C. 5 : 4
D. 8 : 5
E. 9 : 5

Are You Up For the Challenge: 700 Level Questions

A. 3 : 2
B. 4 : 3
C. 5 : 4
D. 8 : 5
E. 9 : 5

Are You Up For the Challenge: 700 Level Questions

GMATinsight · Answer

Let
A = 11p
B = 14p

11p+x / 14p+x = 47/56

i.e. 616p + 56x = 658p + 47x

i.e. 9x = 42p

i.e. x = 14p/3

Bob new / Bob old = 14p+x / 14p

i.e. Bob new / Bob old = 14p+x / 14p = 56p/3 / 14p = 4/3

Answer: Option B

lacktutor · Answer

Number Picking Approach

Let's say that:

--> Original Score :  \frac{Adam}{ Bob }= \frac{33}{42 }

-->  New Score:   \frac{Adam}{ Bob}= \frac{33+14}{42+14}= \frac{47}{56} 
---------------------------------------------
  Bob's :  \frac{New score}{ Orig.score}  =  \frac{56}{42}= \frac{8}{6} = \frac{4}{3}

Answer (B).

ScottTargetTestPrep · Answer

Let’s re-express the ratio 11 : 14 as 11n : 14n.

We can create the following equation:

(11n + x) / (14n + x) = 47/56

56(11n + x) = 47(14n + x)

616n + 56x = 658n + 47x

9x = 42n

x = 42n/9 = 14n/3

So Bob’s original score is 14n, and his new score is 14n + 14n/3 = 42n/3 + 14n/3 = 56n/3

Therefore, the ratio of Bob’s new score to his old score is:

(56n/3) / (14n) = (56/3) / 14 = 56/42 = 4/3

Answer: B

Kinshook · Answer

Given: 
1. The scores of Adam and Bob on a test were in the ratio 11 : 14. 
2. After an appeal, each of their scores increased by x points and their new scores were in the ratio 47 : 56.

Asked: What is the ratio of Bob’s new score to Bob's original score?

Let original scores of Adam and Bob be 11k & 14k respectively

(11k + x)/(14k + x) = 47/56

(14k + x)/3k = 56/9

The ratio of Bob’s new score to Bob's original score = (14k + x)/14k = (56/9) * (3/14) = 4/3

IMO B

The scores of Adam and Bob on a test were in the ratio 11 : 14. After

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The scores of Adam and Bob on a test were in the ratio 11 : 14. After

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