A shopkeeper professes to sell his goods at a 55%

Let the cost price of 1 kg of goods be 100 units.

He claims a 55% loss, so selling price of “1 kg”:

$SP = 45$

But actually he earns 75% profit.

So the actual cost of the quantity he gives is:

$45 = 175%$ of CP

$CP=\frac{45\times100}{175}$

$CP=25.714...$

This means the actual quantity given costs only 25.714 units, while 1 kg costs 100 units.

Hence actual weight:

$\frac{25.714}{100}\times1000$

$=257.14\text{ gm}$

Rounded to one decimal place:

$257.1\text{ gm}$

Final Answer: 257.1 gm