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Question

Rohit has some 50 paise coins, some Rs. 2 coins, some Re. 1 coins and some Rs 5 coins. The value of all coins is Rs 50. Number of Rs. 2 coins is 5 more than the Rs. 5 coins. 50 paise coins are double the number of Re. 1 coins. The value of 50 paise coins and Re. 1 coins is Rs. 26. How many Rs. 2 coins does he have?


A
4
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B
2
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C
7
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D
Cannot be determined
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E
None of the above
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Solution

The correct option is C 7
Let, 50 paise coins = 2x and Re. 1 coins = x
Their value is Rs. 26, then the number of Re. 1 coins will be 13 and the number of 50 paise coins will be 26.
Remaining amount = 50 - 26 = 24.
Now if Rs. 5 coins are x in number then Rs. 2 coins will be x + 5.
Then, with the help of trial method, Rs. 2 coins will be x + 5 = 2 + 5 = 7 in number.

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