# Minimize the cost of buying the Objects

Given **‘T’** which represents the total number of items a person has. **‘P’** represents the price of each item and **‘M’** represents the number of free items he gets **free** if he buys **‘N’** items. The task is to find the total amount the person has to pay to get T items.**Examples:**

Input:T = 13, P = 10, N = 3, M = 1Output:Amount = 100Explaination:

Total number of fruit bottle a person has = 13

Offer available is buy 3 get 1 free

So, person has to buy 9 Fruit juice bottle to get 3 fruit juice bottle for free.

Now, since the total number of the bottle is 13 so the person buys 1 bottle at P price.

The total amount the person has to pay = (9 + 1) * 10 i.e 100Input:T = 12, P = 8, N = 2, M = 1Output:Amount = 64

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**Approach:**

- First of all, we should try to get free items as much as possible, so this can reduce the cost.
- Divide the total number of items with the sum of
**N**and**M**because we get**M**free items when we buy atleast**N**items. - Then calculate the total number of items for which you have to pay for by subtracting the free items from the total number of items
- Finally the price can be calculated by multiplying the cost of one item with the total number of items.

Below is the implementation of the above approach:

## C++

`// C++ program of above approach` `#include <bits/stdc++.h>` `using` `namespace` `std;` `// Function that will calculate the price` `int` `totalPay(` `int` `totalItems, ` `int` `priceOfOneItem,` ` ` `int` `N, ` `int` `M)` `{` ` ` `int` `freeItems = 0, actual = 0;` ` ` `// Calculate the number of items` ` ` `// we can get for free` ` ` `freeItems = totalItems / (N + M);` ` ` `// Calculate the number of items` ` ` `// we will have to pay the price for` ` ` `actual = totalItems - freeItems;` ` ` `// Calculate the price` ` ` `int` `amount = actual * priceOfOneItem;` ` ` `return` `amount;` `}` `// Driver code` `int` `main()` `{` ` ` `int` `T = 12, P = 8;` ` ` `int` `N = 2, M = 1;` ` ` `// Calling function` ` ` `cout << ` `"Amount = "` ` ` `<< totalPay(T, P, N, M);` ` ` `return` `0;` `}` |

## Java

`// Java implementation of the approach` `class` `GFG` `{` `// Function that will calculate the price` `static` `int` `totalPay(` `int` `totalItems,` ` ` `int` `priceOfOneItem,` ` ` `int` `N, ` `int` `M)` `{` ` ` `int` `freeItems = ` `0` `, actual = ` `0` `;` ` ` `// Calculate the number of items` ` ` `// we can get for free` ` ` `freeItems = totalItems / (N + M);` ` ` `// Calculate the number of items` ` ` `// we will have to pay the price for` ` ` `actual = totalItems - freeItems;` ` ` `// Calculate the price` ` ` `int` `amount = actual * priceOfOneItem;` ` ` `return` `amount;` `}` `// Driver code` `public` `static` `void` `main(String[] args)` `{` ` ` `int` `T = ` `12` `, P = ` `8` `;` ` ` `int` `N = ` `2` `, M = ` `1` `;` ` ` `// Calling function` ` ` `System.out.print(` `"Amount = "` `+` ` ` `totalPay(T, P, N, M));` `}` `}` `// This code is contributed by 29AjayKumar` |

## Python3

`# Python3 program of above approach` `# Function that will calculate the price` `def` `totalPay(totalItems, priceOfOneItem, N, M):` ` ` `freeItems ` `=` `0` ` ` `actual ` `=` `0` ` ` `# Calculate the number of items` ` ` `# we can get for free` ` ` `freeItems ` `=` `totalItems ` `/` `/` `(N ` `+` `M)` ` ` `# Calculate the number of items` ` ` `# we will have to pay the price for` ` ` `actual ` `=` `totalItems ` `-` `freeItems` ` ` `# Calculate the price` ` ` `amount ` `=` `actual ` `*` `priceOfOneItem` ` ` `return` `amount` `# Driver code` `T ` `=` `12` `P ` `=` `8` `N ` `=` `2` `M ` `=` `1` `# Calling function` `print` `(` `"Amount = "` `, totalPay(T, P, N, M))` `# This code is contributed by Mohit Kumar` |

## C#

`// C# implementation of the approach` `using` `System;` `class` `GFG` `{` `// Function that will calculate the price` `static` `int` `totalPay(` `int` `totalItems,` ` ` `int` `priceOfOneItem,` ` ` `int` `N, ` `int` `M)` `{` ` ` `int` `freeItems = 0, actual = 0;` ` ` `// Calculate the number of items` ` ` `// we can get for free` ` ` `freeItems = totalItems / (N + M);` ` ` `// Calculate the number of items` ` ` `// we will have to pay the price for` ` ` `actual = totalItems - freeItems;` ` ` `// Calculate the price` ` ` `int` `amount = actual * priceOfOneItem;` ` ` `return` `amount;` `}` `// Driver code` `public` `static` `void` `Main(String[] args)` `{` ` ` `int` `T = 12, P = 8;` ` ` `int` `N = 2, M = 1;` ` ` `// Calling function` ` ` `Console.Write(` `"Amount = "` `+` ` ` `totalPay(T, P, N, M));` `}` `}` `// This code is contributed by PrinciRaj1992` |

## Javascript

`<script>` `// Javascript program of above approach` `// Function that will calculate the price` `function` `totalPay(totalItems, priceOfOneItem,` ` ` `N, M)` `{` ` ` `var` `freeItems = 0, actual = 0;` ` ` `// Calculate the number of items` ` ` `// we can get for free` ` ` `freeItems = totalItems / (N + M);` ` ` `// Calculate the number of items` ` ` `// we will have to pay the price for` ` ` `actual = totalItems - freeItems;` ` ` `// Calculate the price` ` ` `var` `amount = actual * priceOfOneItem;` ` ` `return` `amount;` `}` `// Driver code` `var` `T = 12, P = 8;` `var` `N = 2, M = 1;` `// Calling function` `document.write( ` `"Amount = "` ` ` `+ totalPay(T, P, N, M));` `</script>` |

**Output:**

Amount = 64