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Money For Mathematical Coincidence

**What was the coincidence?**
Let **X** be the** rupees** &** Y** be the **paise** that **Messy** initially had in his pocket. That means he had **100X + Y** paise initially. In shop he paid half of the amount he had i.e. **(100X + Y)/2.**
When he came out of the shop he had Y/2 rupees & X paise i.e. **100(Y/2) + X** paise.

Equating both,

**(100X + Y)/2 = 100(Y/2) + X**

Multiply by 2,

100X + Y = 100Y + 2X

**98X = 99Y**
Hence,** X = 99** & **Y = 98**
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Putting these values in 100X + Y = 9998. This is the amount in paise. Converting in rupees gives, 9998/100 = 99.98
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To conclude,** Messi** had** Rs.99.98** initially in his pocket.

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