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The cost of precious stone is directly proportional to the cube of its weight. A 10 gm stone cost Rs. 25000. The stone falls and breaks in to 3 pieces, whose weights are in the ratio 1:1:3. What is the difference in cost between the largest of the three pieces and the smallest?

A.	Rs. 700	B.	Rs. 5200
C.	Rs. 650	D.	Rs. 3200

Answer and Explanation

Answer:Rs. 5200

Explanation:
it is given that the cost of the stone is directly proportional to cube of its weight.
Cost α W3
Cost = K Ã— W3, where K is the constant of proportionality.
2500 = K Ã— 103
K = 25000/1000 = 25
Since the wights of the stone are in the ratio of 1:1:3, weight of the largest stone = 3/5 Ã— 10 = 6gm
And the weight of the smallest stone = 1/5 Ã— 10 = 2gm
The difference in cost of the stones= K Ã— 63 â€“ K Ã— 23
216K â€“ 8K = 208K = 208 Ã— 25
= Rs. 5200

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