Question

A shopkeeper advertises for selling cloth at 4% loss. However, by using a false metre scale he actually gains
25%. What is the actual length of the scale?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The length of the scale is 0.768 meter

Step-by-step explanation:

let the length of the scale be x

and let the cost price per m cloth will be Rs.100

A shopkeeper advertises for selling cloth at 4% loss

i.e selling price of the cloth = Rs. 96 per m

he gains a profit of 25%

then

the cost price of 1 m cloth = 100

cost of x m cloth = 100x

cost price + profit = selling price

100x+ 25%  of 100x= 96

=$100x + \frac{25}{100} \times 100x$

= 100x + 25x= 96

125x= 96

x= $\frac{96}{125}$

x= 0.768 m

hence,

The length of the scale is 0.768 meter

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