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# Annie bought a mobile and sold it

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Manager
Joined: 13 Jan 2018
Posts: 95
Location: India
GMAT 1: 580 Q47 V23
GPA: 4
Annie bought a mobile and sold it  [#permalink]

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26 Oct 2018, 19:37
00:00

Difficulty:

35% (medium)

Question Stats:

72% (02:06) correct 28% (02:33) wrong based on 18 sessions

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Annie bought a mobile and sold it to Ben at a profit of 50%. After few days, Ben sold it back to Annie at 40% loss, and then Annie sold it to Charlie at 30% profit. Find the overall profit percentage of Annie?

A. 40.53%
B. 77%
C. 87%
D. 90%
E. 95%

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Chaitanya

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3311
Location: India
GPA: 3.12
Re: Annie bought a mobile and sold it  [#permalink]

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26 Oct 2018, 23:16
eswarchethu135 wrote:
Annie bought a mobile and sold it to Ben at a profit of 50%. After few days, Ben sold it back to Annie at 40% loss, and then Annie sold it to Charlie at 30% profit. Find the overall profit percentage of Annie?

A. 40.53%
B. 77%
C. 87%
D. 90%
E. 95%

An easy way to solve such problems is by assuming numbers.

Since Annie sold the mobile and sold it to be Ben for a 50% profit.
If the cost price of the mobile is $100, she would have sold it for$150. Profit = $50 Now Ben sold it back to Annie for a 40% loss, at 0.6*150 =$90
Now, that Annie sold it again to Charlie for 30% profit - 1.3*90 = $117. Profit =$27

Therefore, the overall profit percentage for Annie is $$\frac{50+27}{100} = \frac{77}{100}$$ = 77%(Option B)
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Re: Annie bought a mobile and sold it &nbs [#permalink] 26 Oct 2018, 23:16
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# Annie bought a mobile and sold it

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