A dishonest shopkeeper pretends to sell his goods at cost price, but uses a false weight on which 984gm is written but which actually weighs much less. Using this false weight the shopkeeper actually makes a gain of 23%. Find the actual measure of the weight used.

Correct option is B

Given:

Weight marked on false weight: 984 g

Gain percentage: 23%

Formula Used:

​$$\text{Actual Weight Used} = \frac{\text{Marked Weight}}{1 + \text{Gain Percentage}}$$​​

Solution:

Convert the gain percentage to a fraction:

23% = $$\frac{23}{100}$$​ = 0.23

Substituting into the formula:

Actual Weight Used = $$\frac{984}{1 + 0.23}$$​​

Actual Weight Used = $$\frac{984}{1.23}$$​ = 800g