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# A trader sold one third of his stocks X at a profit percentage of 10%

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Math Expert
Joined: 02 Sep 2009
Posts: 61284
A trader sold one third of his stocks X at a profit percentage of 10%  [#permalink]

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16 Jan 2020, 01:55
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Difficulty:

25% (medium)

Question Stats:

82% (01:38) correct 18% (01:53) wrong based on 21 sessions

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A trader sold one third of his stocks X at a profit percentage of 10% and the rest at a profit percentage of 25%. What is his overall profit percentage?

A. 12%
B. 15%
C. 18%
D. 20%
E. 21%

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Intern
Joined: 16 Oct 2018
Posts: 30
A trader sold one third of his stocks X at a profit percentage of 10%  [#permalink]

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17 Jan 2020, 12:15
Let stocks be x

(1/3x*1.1) +(2/3x*1.25) - he sold 1/3rd of the stocks at a profit of 10% and the remaining 2/3rd of the stocks at a profit of 25%

1.1x/3 + 2.5x/3
3.6x/3
1.2x

Change in percentage = (1.2x-x)/x =0.2x/x = 0.2% or 20%

Hence he sold the stocks at an overall profit of 20%

A trader sold one third of his stocks X at a profit percentage of 10%   [#permalink] 17 Jan 2020, 12:15
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# A trader sold one third of his stocks X at a profit percentage of 10%

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