Question 1054659
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A man sold two items for Rs 1000 each. On one item he gained 30% and on the other item he loss 20%.
Find the overall gain or loss percentage.
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<pre>
(1)  The man sold 1-st item for Rs 1000 and gained 30%.


     It means that the buying price x of this item satisfies this equation


         x + 0.3x = 1000,

     or

           1.3x   = 1000,   x = {{{1000/1.3}}} = Rs 769.23.



(2)  The man sold 2-nd item for Rs 1000 and loss 20%.


     It means that the buying price x of this item satisfies this equation


         x - 0.2x = 1000,

     or

           0.8x   = 1000,   x = {{{1000/0.8}}} = Rs 1250.00.



(3)  Thus the man bought the two items for the total  Rs (769.23 + 1250.00) = Rs 2019.23.


     The man sold the two items for the total of Rs 1000 + Rs 1000 = Rs 2000.


     Hence, he loss Rs 2019.23 - Rs 2000 = Rs 19.23.


     His overall percentage loss is  {{{(19.23/2019.23)*100}}} = 0.95%.      <U>ANSWER</U>
</pre>

Solved.