Bert and Rebecca were looking at the price of a condominium. The pric

Question

Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 80% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.

A. 1:4
B. 4:1
C. 2:3
D. 3:2
E. 3:4

Kudos for a correct solution.

A. 1:4
B. 4:1 
C. 2:3 
D. 3:2 
E. 3:4

adityadon · Answer

Is answer C 2 : 3 ?
Suppose bert had 100 so price becomes 180 , this 180 = 1.2 times R's saving .. so R's saving becomes 150 
So required ratio is 100:150=2:3

KS15 · Answer

Ratio=100:150=2:3. Answer C

pacifist85 · Answer

Based on the stem we can create these 2 equations:

Price = B + 0.80B = 1.80B
Price = R + 0.20R = 1.20R

Since both are the same price we equate the 2:
1.80B = 1.20R
B/R = 1.20 / 1.80 = 12 / 18 = 2 / 3.

ANS C

chetan2u · Answer

let the savings of bert and rebecca be B and R respectively...
price of condominium=1.8*B=1.2R..... so  \frac{B}{R} = \frac{1.2}{1.8} = \frac{2}{3} 
ans 2:3 C...

peachfuzz · Answer

let B = Bert's savings
let R = Rebecca's savings

1.80B=1.20R
B/R=2/3

Answer: C

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION:

The trap answer here would be to take the ratio of 80% and 20% — those don’t represent actually amounts that other person has, just the differences between amounts owned and the cost of the condo. Think of this in terms of multipliers. Use the variables:

B = amount Bert has in savings
R = amount Rebecca has in savings
P = price of the condominium

Then in terms of multipliers, the information given tells us that P = 1.8*B, and P = 1.2*R. Set these equal.
1.8*B = 1.2*R

B:R = 1.2/1.8 = 2/3.

Answer = (C)

kanigmat011 · Answer

Hi Brunel,

I understood the OLA as C but somehow i got confused using the below technique which results in bizarre answer

Assuming Price of Condominium as 100
Saving of Bert would be 100*5/9 =55.55
Saving of Rebecca as 100*5/6 =83

Ratio being 55.55 : 83

Kindly explain what am I missing when using this technique.
Thanks

EgmatQuantExpert · Answer

Hi kanigmat011 , Your answer is perfectly right ( \frac{55.55}{83} = 2:3

). However, I would suggest you to avoid calculations where you don't need it. In this case you didn't need to calculate the values of Bert's and Rebecca's savings. Just leaving them as fractions would have made your life a lot easier. So, had you divided them as fractions, you would have got \frac{100*5 * 6}{9 * 100 * 5} i.e. \frac{6}{9} which is 2:3

Try avoiding complex calculations as they have a habit of taking care of themselves when put into the larger picture. Hope it helps! Regards Harsh

ScottTargetTestPrep · Answer

We can create the equation:

1.8B = 1.2R

B/R = 1.2/1.8

B/R = 12/18

B/R = 2/3

Answer: C

adityasuresh · Answer

Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 80% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.

A. 1:4
B. 4:1
C. 2:3
D. 3:2
E. 3:4

Kudos for a correct solution.

A. 1:4
B. 4:1
C. 2:3
D. 3:2
E. 3:4

Pick smart numbers 80% MORE IMPLIES 1.8 Times more. 20% MORE IMPLIES 1.2 TIMES MORE
TAKE LCM OF 18 & 12 = 36 = Price of condominium
The price of the condominium was 80% more than Bert had in savings =  36/1.8  =20
the  same price  was also 20% more than Rebecca had in savings =  3.6/1.2  = 30
B:R = 20 : 30 = 2:3
 C

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Bert and Rebecca were looking at the price of a condominium. The pric

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Bert and Rebecca were looking at the price of a condominium. The pric

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards