4. Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixths the value of the first prize and the value of the third prize is four-fifths that of the second prize. If the total value of three prizes is 450, find the value of each prize.
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Value of first prize = a
Value of second prize = 5a/6
Value of the third price = 4/5 x 5a/6 = 4a/6
Total value = 450
a + 5a/6 + 4a/6 = 450
6a + 5a + 4a = 450 x 6
15a = 2700
a = 180
Value of first prize (a) = Rs. 180
Value of second prize (5a/6) = Rs.150
Value of the third price (4a/6) = Rs.120
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