Question

When a discount of 25% is allowed on the marked price the selling price will be Rs.1425. If the market price is 18.75% above the cost price what percent will be gained

Answer 1

Answer:

The loss percent is 10.94%.

Step-by-step explanation:

The selling price is, Rs. 1425.

The discount is, 25%.

Compute the marked price as follows:

$SP=MP[1-\frac{d}{100}]\\1425=MP[1-\frac{25}{100}]\\1425=MP\times 0.75\\MP=1900$

Now it is provided that the marked price is 18.75% above the cost price.

Compute the cost price as follows:

$MP=CP[1+\frac{18.75}{100}]\\1900=CP\times 1.1875\\CP=1600$

The selling price is less than the cost price.

So there is loss incurred.

The loss percent is:

$Loss\%=\frac{CP-SP}{CP}\times 100\\=\frac{1600-1425}{1600}\times 100\\=10.94\%$

Thus, the loss percent is 10.94%.