A Car Dealership Has 40 Cars On The Lot, 30% of Which Are GMAT Problem Solving

bySayantani Barman Experta en el extranjero

‘A car dealership has 40 cars on the lot, 30% of which are silver’ is a GMAT Quantitative Reasoning topic. GMAT quantitative reasoning section analyses the candidates' ability to solve mathematical, and quantitative problems and interpret graphic data. The question in this section comes with 2 statements. Candidates need to prove if they are sufficient to answer the problem. This section of the GMAT exam comprises 31 questions that need to be completed in a 62 minutes time frame. GMAT Quant syllabus has mainly the two categories-

Problem Solving: This question type in GMAT Quantitative analyses candidates logical and analytical reasoning skills. In this section, candidates indicate the best five answer choices.
Data Sufficiency: This question type in GMAT Quantitative analyses candidates’ quantitative problems and identifies relevance with the data given.

Topic: A car dealership has 40 cars on the lot, 30% of which are silver. If the dealership receives a new shipment of 80 cars, 40% of which are not silver, what percentage of total number of cars are silver?

35%
37.5%
45%
47.5%
50%

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Answer: E

Model Answer 1

Explanation: the given case states that a car dealership has 40 cars on the lot in which 30% are silver. The new dealership would help them in receiving the new shipment of 80 cars, 40% of which are not silver. Accordingly, it is important to find the number of cars of silver, it can be evaluated as follows:
Number of silver cars before shipment = 30% of 40 = 12
Number of silver cars after shipment = 60% of 80 = 48
Total number of silver cars out of 120 = 48+12 = 60, which is 50%
Hence, 50% of the total number of cars were silver therefore, E is the correct answer.

Model Answer 2

Explanation: based on the given case in the question, it may be identified that before the shipment, the car dealership has 0.3 x 40 = 12 silver cars.
The shipment has 0.6 x 80 = 48 silver cars.
Thus, after the shipment, the dealership has 12 + 48 = 60
Silver cars out of a total of 40 + 80 = 120 cars.
We see that the percentage of cars that are silver is 60/120 = 1/2 = 50%.
Thus, it can be concluded that 50% of the cars are silver thereby option E being the correct answer.

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A Car Dealership Has 40 Cars On The Lot, 30% of Which Are GMAT Problem Solving

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