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

Answer 1

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.