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The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio $1 : 2 : 3 : 4$. When the pieces were sold, the merchant got Rs. $70,000$ less. Find the original price of the diamond.

- Rs. $1.4$ lakh
- Rs. $2.0$ lakh
- Rs. $1.0$ lakh
- Rs. $2.1$ lakh

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