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If salesperson A sold 35% more motorcycles than salesperson
[#permalink]
19 Aug 2018, 03:18

Expert Reply

Question Stats:

If salesperson A sold 35% more motorcycles than salesperson B, which of the following could be the total number of motorcycles sold by both salespeople?

Indicate all such total numbers of motorcycles.

A. 47

B. 70

C. 135

D. 235

_________________

Indicate all such total numbers of motorcycles.

A. 47

B. 70

C. 135

D. 235

_________________

Sandy

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Re: If salesperson A sold 35% more motorcycles than salesperson
[#permalink]
20 Aug 2018, 09:49

sandy wrote:

If salesperson A sold 35% more motorcycles than salesperson B, which of the following could be the total number of motorcycles sold by both salespeople?

Indicate all such total numbers of motorcycles.

A. 47

B. 70

C. 135

D. 235

Indicate all such total numbers of motorcycles.

A. 47

B. 70

C. 135

D. 235

Could explain how you got this answer ?

Re: If salesperson A sold 35% more motorcycles than salesperson
[#permalink]
31 Aug 2018, 22:03

Please explain why A?

Re: If salesperson A sold 35% more motorcycles than salesperson
[#permalink]
03 Sep 2018, 01:18

2

Let B sell x number of motorbike then A would sell 1.35x number of motorbike. In combination they would sell 2.35x number of bikes. Divide all the ans choices by 2.35 only first and last option will give an integer value for x. As one cannot sell a fraction of a bike.

_________________

_________________

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If salesperson A sold 35% more motorcycles than salesperson
[#permalink]
09 Sep 2021, 21:03

A = B + 35/100 * B = B + 7B/20 = 27B/20

Total: A + B = 27B/20 + B = 47B/20 = 47/20 * B

The least value of B is 20 to make the total motorcycles count an integer.

So, the Total possible motorcycles count is 47 or multiples of 47.

Ans: A, D

Total: A + B = 27B/20 + B = 47B/20 = 47/20 * B

The least value of B is 20 to make the total motorcycles count an integer.

So, the Total possible motorcycles count is 47 or multiples of 47.

Ans: A, D

gmatclubot

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