Multiple choice general knowledge math & puzzles

A sum of Rs. 8.25 is made up of 100 coins which are either 10 paise or 5 paise. How many are there of 10 paise?

  1. 65

  2. 35

  3. 40

  4. 55
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A Correct answer
Explanation

Let x be the number of 10 paise coins and y be the number of 5 paise coins. We have x + y = 100 and 10x + 5y = 825. Substituting y = 100 - x into the second equation gives 10x + 5(100 - x) = 825, which simplifies to 5x + 500 = 825, meaning 5x = 325 and x = 65.

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