Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixth 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 the three prizes is ₹ 150, find the value of each prize.
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Answered by
31
Let value of 1st prize be x
Value of 2nd prize = 5x/6
Value of 3rd prize = 4/5(5x/6)
= 4x/6
Given total cost = 150
x + 5x/6 + 4x/6 = 150
15x/6= 150
x = (150*6)/15= 60
2nd prize = 50
3rd prize = 40
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Answered by
11
Let the value of first prize = x
The value of second prize = 5x / 6
The value of third prize = (5x / 6) × (4/5)
= 20x /30
= 4x /6
the total value of the three prizes is ₹ 150
x + (5x/6) + (4x/6) = 150
15x /6 = 150
15x = 150×6
x = 900/15
x = 60
x = 60 5x/6 = 60×5/6 = 50
4x/6 = 60×4/6 = 40
the value of first prize = x = 60
The value of second prize = 5x / 6 = 50
The value of third prize = 4x /6 = 40
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