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The cost of a diamond varies directly as the square of its weight. A diamond is broken into 4 pieces with weights in the ratio 1:2:3:4. When the pieces were sold the merchant got Rs. 105,000 less than the original price of the diamond. What is the original price of the diamond?A. Rs. 1.5 lakhB. Rs. 2.0 lakhC. Rs. 1.0 lakhD. Rs. 2.1 lakh

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Let price of diamond as kx^2 where k is a contant 

total price for 4 pieces 


price of original diamond=100kx^2 

difference 70kx^2=$70000 or kx^2=1000 

original price of the diamond=100*1000=100000 

So the answer is Rs.100000


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