# Puzzle | Selling Chocolates

Ram and Shyam were selling chocolates. Ram was selling at the rate of 2 pieces/rupee and Shyam was selling at the rate of 3 pieces/rupee. Now both of them decided that they will mix their chocolates and sell them at the rate of 5 pieces for 2 rupees.

Now after selling whole chocolates, they found that the total collection is rupees 7 less than what they would get by selling them separately.

**Note :** Initially both have equal number of chocolates.

**Q. Find how many chocolates each of them had initially?**

**Answer:** 210

**Explanation:**

Let x be the number of chocolates each of them had initially. Total money earned when they sell chocolates separately: x/2 + x/3.

Total money earned if they sell in a combined manner: (2*x)/(5/2)

According to the problem: x/2 + x/3 =(2*x)/(5/2) + 7

Solving the above equation, we get the value of x = 210.

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