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Let the number of ₹2, ₹1 and 50-paise coins be 4x, 6x and 8x respectively.
ATQ:
(4x × 2) + (6x × 1) + (8x × 0.50) = 576
Or, 8x + 6x + 4x = 576
Or, 18x = 576
Or, x = 576 / 18 = 32
So, number of 50-paise coins = 8x = 8 × 32 = 256
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