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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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(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 = = 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 = = 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 = 0.95%. ANSWER
Solved.