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Christmas Beggar Maths Puzzle

Christmas Beggar Maths Puzzle Solution - 24 December

On Christmas , A beggar earns 71 rupees in form of 20-paisa and 25-paisa.
He collects total of 324 coins.

Can you tell me how many number of 20-paisa and 25-paisa he got ?

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Solution
20 paisa coins : 200
25 paisa coins : 124

Explanation:
Say he collect 20-paisa coins be A
Say he collect 25-paisa coins be B
=>number of 25-paisa coins = (324 - A).

Therefore,
0.20 X A + 0.25 (324 - A) = 71
=>20A + 25 (324 - A) = 7100
=>5A = 1000
=>A = 200.

Hence, number of 25-paisa coins = (324 - A) - 124.