Question

A shopkeeper bought some book at discount of 20 percent on list price. if he want to mark them at such a price that after giving a discount of 20 percentage, he still make a profit of 25 percent. find the percent of list price he should mark on its goods above it's cost price​

Answer 1

Answer:

Correct option is

A

25% above the list price

Let the list price be Rs. x 

Cost price =20% discount on the list price

That will be 80% of the list price 

Cost Price=100(80×x)

Cost Price=54x

The profit is 25% on the selling price.

So, selling price =125% of the cost price.

=100125×54x

=x

Let the marked price be Rs y

If the merchant gives 20% discount,

Then 80% of marked price = Selling price

⟹10080y=x

After cross multiplying, we get.

100x=80y

y=45x

The percentage of the list price at which the merchant marks the goods 

=List Price(Marked Price−List Price)100

=x(y−x)100

=x(45x−x)100=(4x(5x−4x)×100)=25%

Hence the price should be 25% above the list price.