Question

A cycle merchant allows 15% discount on the marked price of a bicycle and still he makes a profit

Answer 1

Answer:

The program in Java is as follows:

public class Main{

public static void main(String[] args) {

 double discount_percent = 0.15;

 double discount_amount = 600;

 double profit = 0.20;

 double marked_price = discount_amount/discount_percent;

 double cost_price = marked_price/(1 + profit);

 System.out.println("Marked Price: "+marked_price);

 System.out.println("Cost Price: "+cost_price);

}}

Explanation:

For explanation purpose, let

$MP \to$ Marked Price

$\%D \to$ Percentage discount

$D \to$ Discounted amount

$\%P \to$ Percentage Profit

$C \to$ Cost Price

The marked price (i.e. selling price) is calculated discount using:

$MP = \frac{D}{\%D}$

The derived formula of the cost price from percentage profit and Marked Price is:

$C = \frac{M}{1 + \%P * 100}$

So, the explanation is as follows:

The next three lines declare and initialize the given parameters

 double discount_percent = 0.15;

 double discount_amount = 600;

 double profit = 0.20;

Calculate marked price

 double marked_price = discount_amount/discount_percent;

Calculate cost price

 double cost_price = marked_price/(1 + profit);

Print marked price

 System.out.println("Marked Price: "+marked_price);

Print Cost price

 System.out.println("Cost Price: "+cost_price);