# 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 = 1
Output: Amount = 100
Explaination:
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 100

Input: T = 12, P = 8, N = 2, M = 1
Output: Amount = 64

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach:

1. First of all, we should try to get free items as much as possible, so this can reduce the cost.
2. 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.
3. 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
4. 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 ` `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 `

Output:

```Amount = 64
```

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