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Annie bought a mobile and sold it

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Annie bought a mobile and sold it  [#permalink]

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New post 26 Oct 2018, 19:37
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A
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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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Re: Annie bought a mobile and sold it  [#permalink]

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New post 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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