Three prizes are to be distributed in a Quiz Contest. The value of the 2nd prize is five-sixth the value of the 1st prize and the value of the 3rd prize for is four-fifths that of the 2nd prize if the total value of the three prizes is rupees 150 find the value of each price.
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Step-by-step explanation:
suppose value of first prize = x.
=> value of 2nd price y = (5/6)x
=> value of 3rd price z = (4/5)y = (4/5)*(5/6)x = (2/3)x
=> total value = 150
=> x+y+z = 150
=> x + (5/6)x + (2/3)x = 150
=> x( 1 + 5/6 + 2/3) = 150
=> x (6+5+4)/6 = 150
=> x = (150*6)/15
=> x = 60
=> y = (5/6)x = (5/6)*60 = 50
=> z = (2/3)x = 2/3*60 = 40
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