How do you calculate selling price when selling price and profit percentage is given?

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Given the Selling Price(SP) and percentage profit or loss of a product. The task is to Calculate the cost price(CP) of the product.
Examples: 
 

Input:  SP = 1020, Profit Percentage = 20
Output: CP = 850

Input: SP = 900, Loss Percentage = 10
Output:  CP = 1000

Approach: 
 

• Formula to calculate cost price if selling price and profit percentage are given:
   

CP = ( SP * 100 ) / ( 100 + percentage profit).

• Formula to calculate cost price if selling price and loss percentage are given:
   

CP = ( SP * 100 ) / ( 100 – percentage loss ).

Below is the required implementation: 
 

C++

#include <iostream>

using namespace std;

float CPwithProfit(int sellingPrice, int profit)

{

    float costPrice;

    costPrice = (sellingPrice * 100.0) / (100 + profit);

    return costPrice;

}

float CPwithLoss(int sellingPrice, int loss)

{

    float costPrice;

    costPrice = (sellingPrice * 100.0) / (100 - loss);

    return costPrice;

}

int main()

{

    int SP, profit, loss;

    SP = 1020;

    profit = 20;

    cout << "Cost Price = " << CPwithProfit(SP, profit) << endl;

    SP = 900;

    loss = 10;

    cout << "Cost Price = " << CPwithLoss(SP, loss) << endl;

    SP = 42039;

    profit = 8;

    cout << "Cost Price = " << CPwithProfit(SP, profit) << endl;

    return 0;

}

Java

import java.util.*;

class solution

{

static float CPwithProfit(int sellingPrice, int profit)

{

    float costPrice;

    costPrice = (sellingPrice * 100) / (100 + profit);

    return costPrice;

}

static float CPwithLoss(int sellingPrice, int loss)

{

    float costPrice;

    costPrice = (sellingPrice * 100) / (100 - loss);

    return costPrice;

}

public static void main(String args[])

{

    int SP, profit, loss;

    SP = 1020;

    profit = 20;

    System.out.println("Cost Price = "+CPwithProfit(SP, profit));

    SP = 900;

    loss = 10;

    System.out.println("Cost Price = "+CPwithLoss(SP, loss));

    SP = 42039;

    profit = 8;

    System.out.println("Cost Price = "+CPwithProfit(SP, profit));

}

}

Python3

def CPwithProfit(sellingPrice, profit):

    costPrice = ((sellingPrice * 100.0) /

                        (100 + profit))

    return costPrice

def CPwithLoss(sellingPrice, loss):

    costPrice = ((sellingPrice * 100.0) /

                          (100 - loss))

    return costPrice

if __name__ == '__main__':

    SP = 1020

    profit = 20

    print("Cost Price =", CPwithProfit(SP, profit))

    SP = 900

    loss = 10

    print("Cost Price =", CPwithLoss(SP, loss))

    SP = 42039

    profit = 8

    print("Cost Price =", int(CPwithProfit(SP,

                                     profit)))

C#

using System;

class solution

{

static float CPwithProfit(int sellingPrice, int profit)

{

    float costPrice;

    costPrice = (sellingPrice * 100) / (100 + profit);

    return costPrice;

}

static float CPwithLoss(int sellingPrice, int loss)

{

    float costPrice;

    costPrice = (sellingPrice * 100) / (100 - loss);

    return costPrice;

}

public static void Main()

{

    int SP, profit, loss;

    SP = 1020;

    profit = 20;

    Console.WriteLine("Cost Price = "+CPwithProfit(SP, profit));

    SP = 900;

    loss = 10;

    Console.WriteLine("Cost Price = "+CPwithLoss(SP, loss));

    SP = 42039;

    profit = 8;

    Console.WriteLine("Cost Price = "+CPwithProfit(SP, profit));

}

}

PHP

<?php

function CPwithProfit($sellingPrice, $profit)

{

    $costPrice = ($sellingPrice * 100.0) / (100 + $profit);

    return $costPrice;

}

function CPwithLoss($sellingPrice, $loss)

{

    $costPrice = ($sellingPrice * 100.0) / (100 - $loss);

    return $costPrice;

}

    $SP = 1020;

    $profit = 20;

    echo("Cost Price = ");

    echo(CPwithProfit($SP, $profit));

    echo("\n");

    $SP = 900;

    $loss = 10;

    echo("Cost Price = ");

    echo(CPwithLoss($SP, $loss));

    echo("\n");

    $SP = 42039;

    $profit = 8;

    echo("Cost Price = ");

    echo(CPwithProfit($SP, $profit));

    echo("\n");

?>

Javascript

 function CPwithProfit(sellingPrice,  profit)

{

    var costPrice;

    costPrice = (sellingPrice * 100) / (100 + profit);  

    return costPrice;

}

function CPwithLoss( sellingPrice,  loss)

{

    var costPrice;

    costPrice = (sellingPrice * 100) / (100 - loss);

    return costPrice;

}

    var SP, profit, loss;

    SP = 1020;

    profit = 20;

    document.write("Cost Price = " + CPwithProfit(SP, profit) + "<br>");

    SP = 900;

    loss = 10;

    document.write("Cost Price = " + CPwithLoss(SP, loss)  + "<br>");

    SP = 42039;

    profit = 8;

    document.write("Cost Price = " + CPwithProfit(SP, profit)  + "<br>");

 </script>

Output:

Cost Price = 850
Cost Price = 1000
Cost Price = 38925

Time Complexity: O(1)

Auxiliary Space: O(1)