Question : A bag contains an equal number of 50 paise, 25 paise, 20 paise and 5 paise coins. If the total monetary value of all these coins taken together is INR 55, then how many coins of each type are there?
Option 1: 27
Option 2: 55
Option 3: 52
Option 4: 50
Correct Answer: 55
Solution :
Let the number of each coin be $x$
The total monetary value of all these coins taken together is INR 55 = 55 x 100 = 5500 paise
The bag contains an equal number of 50 paise, 25 paise, 20 paise, and 5 paise coins
The Total monetary value of the coin will be = $50\times x+25\times x+5\times x = 100x$
But the monetary value of coins is 5500 paise
⇒ $100\times x = 5500$
⇒ $x$ = 55 coins
$\therefore$ The bag contains 55 coins of each type.
Hence, the correct answer is 55.
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