The cost of a precious stone varies as the cube of its weight. A certain precious stone broke into three pieces whose weighs are in the ratio 1 : 2 : 3, as a result of which its cost reduces by 80280. What was the cost of the stone before breaking ?
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we have to find cost of stone before breaking .... ?
cost of stone varies as the cube of its weight .. and after breaking into three pieces its cost reduced by 80280 ...
Let After breaking the weight of three parts be :- x , 2x & 3x ..
so, initial Total part = (x+2x+3x) = 6x
so, initial cost of full stone = (6x)³ = 216x³
Now,
After breaking its price become =
So, Decrease in Price ==
Value of This is Given :- 80280
And , we have to Find initial Price . That is 216x³ .
So,
so, initial price of Precious stone was =
Answered by
0
Let x , 2x , 3x be the weight of three parts after breaking:
80280 is the value:
Therefore , 96336 is the initial price of precious stone.
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