On the biology test, Ram's score was 20% higher than Simon's, while Ty

Question

On the biology test, Ram's score was 20% higher than Simon's, while Tyra's score was 25% less than Ram's.

Select for  Simon's score  a possible value for Simon's score and for  Tyra's score  a possible value for Tyra's score that would be jointly consistent with the given information. Make only two selections, one in each column.

Bunuel · Accepted Answer

Official Solution: We have: • Ram's score was 20% higher than Simon's. • Tyra's score was 25% less than Ram's Assuming Simon's score was 100 points (we should assume Simon's score as 100 because Simon's score is the reference score – Ram's score was 20% higher than Simon's – and this makes calculations easier), Ram's score would be 100 * 1.2 = 120 points, and Tyra's score would be 120 * 0.75 = 120 * 3/4 = 90 points. Thus, the ratio of Simon's score to Tyra's score is 100:90. Among the options, only 280 and 252 maintain this ratio. This can be quickly verified: • If Simon's score is 95, 10% less would not give 75, so it's out. • If Simon's score is 100, 10% less would give 90, which is not an option. • If Simon's score is 200, 10% less would give 180, which is not an option. • If Simon's score is 252, 10% less would give approximately 225, which is not an option. Thus, only 280 and 252 remain. Correct answer: Simon's score "280" Tyra's score "252" GMAT-Club-Forum-ogoonr98.png

ManifestDreamMBA · Answer

Let S = 100
R = 120
T = 120 *.75 = 90
S:T = 10:9

Plugging in the values, Simon's score is 280 and Tyra's score is 252

Bismuth83 · Answer

1. The question asks us to  find a possible combination of Simon's and Tyra's scores .

2. Let Ram's, Simon's, and Tyra's scores be equal to R, S, and T respectively.

3.  Ram's score was 20% higher than Simon's.  This gives us that  R = 1.2 * S .

4.  Tyra's score was 25% less than Ram's.  This gives us that  T = 0.75 * R .

5. Using the two equations, we have:  T = 0.75 * R = 0.75 * 1.2 * S = 0.9S .

6. The only combination that has this ratio of 10 to 9 is 280 to 252.

7. Our answer will be:   Simon's score - 280 and Tyra's score - 252  .

tomloveless · Answer

How I approached it:

R = S(1.2)
T= R(.75)

T = {S(1.2).75}
T = S(.9)

Start plugging in, at this point we know that T<S
252 = 280(.9)

HarshavardhanR · Answer

Simon's score: s
Ram's score: (6/5)*s
Tyra's score: (3/4)*(6/5)*s = (9/10)*s

We need Simon's score and Tyra's score from the options that satisfy the above. Tyra's score should be (9/10) of Simon's score.

9/10 is 90% (not very far from 100%). So, Simon's and Tyra's score should be pretty close to each other.

Start with (100,95) and (280, 252).

9/10 of 100 is 90, not 95. Reject (100, 95). 
9/10 of 280 is 252. So, we got our answer.

(280, 252).

Harsha

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On the biology test, Ram's score was 20% higher than Simon's, while Ty

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