At a certain car dealership, what percent of the cars both weigh more

Question

At a certain car dealership, what percent of the cars both weigh more than 1,800 kilograms and cost more than €40,000?

(1) 55% of all the cars at the dealership weigh more than 1,800 kilograms.

(2) Of the cars at the dealership that weigh more than 1,800 kilograms, 20% cost more than €40,000.

M47-140

Bunuel · Accepted Answer

GMAT Club Official Solution:

At a certain car dealership, what percent of the cars both weigh more than 1,800 kilograms and cost more than €40,000?

(1) 55% of all the cars at the dealership weigh more than 1,800 kilograms.

This tells us only the percent of cars that weigh more than 1,800 kilograms. Not sufficient.

(2) Of the cars at the dealership that weigh more than 1,800 kilograms, 20% cost more than €40,000.

This tells us only, among the cars that weigh more than 1,800 kilograms, what percent cost more than €40,000. But it does not tell us what percent of all cars weigh more than 1,800 kilograms. Not sufficient.

(1) + (2) 55% of all cars weigh more than 1,800 kilograms, and 20% of those cost more than €40,000.

55% of all cars satisfy the weight condition. Of those cars, 20% also satisfy the price condition. So the percentage of all cars that satisfy both conditions is 55% * 20% = 11%.

Sufficient.

Answer: C.

AdarshSambare · Answer

We want: percent of cars that satisfy both conditions
= (weigh > 1800 kg AND cost > €40,000)

(1) says 55% weigh > 1800 kg
Alone, this doesn’t tell us how many of those also cost > 40,000 → insufficient

(2) says: among cars weighing > 1800 kg, 20% cost > 40,000
But we don’t know how many cars are in that group overall → insufficient

Combine (1) and (2):
55% of all cars are in the “heavy” group
Of those, 20% also meet the cost condition
So total percent = 0.55 × 0.20 = 0.11 = 11%
Unique answer → sufficient
 Answer: C

thisisakr · Answer

The question asks what percent of ALL cars both weigh more than 1,800 kg AND cost more than €40,000.

Statement 1 tells us that 55% of all cars weigh more than 1,800 kg. This alone is not enough because we don't know how those cars are split by price. ———  insufficient

Statement 2 tells us that 20% of the heavy cars cost more than €40,000. This alone is not enough because we don't know what share of all cars are heavy. ————  insufficient

Combining both statements, we multiply 55% by 20% to get 11%. So 11% of all cars at the dealership both weigh more than 1,800 kg and cost more than €40,000.
The answer is C — both statements together are  sufficien

BongBideshini · Answer

Cost > €40k 
 Cost ≤ €40k 
 Total 
 
  Weight > 1800 kg 
  A?

Weight ≤ 1800 kg

Total

100%

We need to find A

Statement (1): 
    
 Cost > €40k 
 Cost ≤ €40k 
 Total 
 
  Weight > 1800 kg 
 A? 
  
 55% 
 
  Weight ≤ 1800 kg

45% 
 
   Total

100%

But we still don’t know  A 
 Not sufficient

Statement (2):

Cost > €40k 
 Cost ≤ €40k 
 Total 
 
  Weight > 1800 kg 
 20% of X = A 
 80% of X 
 X 
 
  Weight ≤ 1800 kg

100 − X 
 
   Total

100

We don't know the value of A

Combine (1) and (2):

X=55%

Cost > €40k 
 Cost ≤ €40k 
 Total 
 
  Weight > 1800 kg 
 11% 
 44% 
 55% 
 
  Weight ≤ 1800 kg

45% 
 
   Total

100%

A=11%

Ans (C)

Adit_ · Answer

Statement 1:
Clearly INSUFFICIENT.

Statement 2:
Clearly INSUFFICIENT.

Combining the two:
We see 20% of 55 = 11% weigh more than 1800 and cost more than 40,000.
SUFFICIENT.

Answer:  Option C

At a certain car dealership, what percent of the cars both weigh more

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	Cost > €40k	Cost ≤ €40k	Total
Weight > 1800 kg	20% of X = A	80% of X	X
Weight ≤ 1800 kg			100 − X
Total			100

GMAT Data Sufficiency (DS) Questions

At a certain car dealership, what percent of the cars both weigh more

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