A bag contains 459 coins of three different types, 1 rupee, 50 paisa, and 25 paisa, in the ratio of 13: x: (x+10), respectively. Find the value of x, if bag contains coins worth Rs. 234.
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number of coins = total value of those coins/ value of one coin
total value of 1 rs , 0.5 rs and 0.25 rs coins are 5x , 3x and x respectively
number of 1 rupee coin = a = 5x/1 = 5x
number of 0.5 rupee coin = b = 3x/0.5 = 6x
number of 0.25 rupee coin = c = x/0.25 = 4x
N = total number of coins = 465
N = a + b + c
465 = 5x + 6x + 4x
x (15) = 465
x = 465/15
x = 31
number of 1 rupee coin = a = 5x = 5x 31 = 155
number of 0.5 rupee coin = b = 6x = 6 x 31 = 186
number of 0.25 rupee coin = c = 4x = 4 (31) = 124
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