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A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind?

Correct answer: C. 144

  • A. 432
  • B. 288
  • C. 144
  • D. 72
  • E. None of these

Explanation

Let n be the number of each type of coin. The total value is n x Rs.5 + n x Rs.2 + n x Rs.1 = 8n rupees, so 8n rupees = Rs.1,152 and n = Rs.1,152 / 8 rupees = 144 coins of each kind. The likely mistake is option b, 288, from counting the three denominations without applying their different values.

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