Let's assume the buying price of the shirt is y.
When the shirt is sold at sh 126, a loss of x% is made. This means that the selling price is (100 - x)% of the buying price. Therefore, the selling price is 0.01(100 - x)y = 0.01(100y - xy) = y - 0.01xy.
When the shirt is sold at sh 154, a profit of x% is made. This means that the selling price is (100 + x)% of the buying price. Therefore, the selling price is 0.01(100 + x)y = 0.01(100y + xy) = y + 0.01xy.
We can now set up the equation:
y - 0.01xy = 126
y + 0.01xy = 154
By simplifying the equations, we get:
y - 0.01xy = 126
y + 0.01xy = 154
Adding the two equations together eliminates the term with xy:
2y = 280
Dividing both sides by 2:
y = 140
Therefore, the buying price of the shirt is sh 140.
When a shirt is sold at sh 126 a Ioss of x%is made if the same shirt is sold at sh154 a profit ofx% is realized find the buying price
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