Three prizes are to be distributed in a contest. The value of second prize is five sixth the value of the first prize and the value of the third prize is five fifth that of second prize. If total value of three prize is Rs 150 find the value of each prize.
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Let the cost of the first prize = m
Thus,
Cost of second prize = 5m/6
and, cost of third prize = 4/5 × 5m/6 = 2m/3
Now, combined cost of three prizes = £150.
=> m + 5m/6 + 2m/3 = 150
=> (6m + 5m + 4m)/6 = 150
=> 15m = 6 × 150
=> m = 6 × 10
=> m = £60.
Therefore,
Cost of First prize = m = 60.
Cost of Second prize = 5m/6 = (5×60)/6 = 50.
Cost of Third prize = 2m/3 = (2×60)/3 = 40.
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