The cost of diamond varies directly with square of
its weight. Diamond is broken into 3 parts whose
weight are in the ratio 3:4:5. If diamond had been
broken into three part whose weight are in the
ratio 9:5:2 then there would have been a further
profit of Rs152000.What is the actual cost of
original diamond?
Please help me
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1
Answer:
let weight be 12x then case 1 price-(3x)^2+(4x)^2+(5x)^2=50x^2 case 2 ratio-9:5:2 total 16so weight of parts 3/4*9- 27x/4 3/4*5-15x/4 3/4*2-3x/2 price (27x/4)^2+(15x/4)^2+(3x/ 2)^2=67.5x^2 17.5x 2-152000 x^2-152000/17.5 now cost of (12x)^2-144x^2=1250742.86
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