A shopkeeper advertises for selling cloth at 7% loss. However, by using a false scale of length 1 metre he actually gains 24%. What will be the actual length he uses instead of 1 metre ?

Correct option is A

Given:

A shopkeeper advertises for selling clothes at a 7% loss.

However, by using a false scale of length 1 meter he actually gains 24%

Concept used:

Selling Price = CP + Profit 

Solution:

Let the length of scale be ‘x’ meters.

Let the cost price per meter of cloth be Rs. 100

CP of cloth with false scale Rs. 93/metre and gains 24% profit

CP of x meter length cloth = 100x

According to the question,

=> 100x + 24% of 100x = 93

=> 100x + 24x = 93

=> 124x = 93

=> x = 93/124 = 0.75 m

∴ The actual length he uses instead of 1 meter is 75 cm.