Price of gold is directly proportional to square of its weight. A
gold is broken in the ratio 3:2:1 and sold for 1 4620 less.

1 thought on “Price of gold is directly proportional to square of its weight. A<br />gold is broken in the ratio 3:2:1 and sold for 1 4620 less.”

1. Step-by-step explanation:

   We are given that the price of gold is directly proportional to square of its weight.

   => Price = k*weight^2

   Let us say initially the weight of the nugget was 6 units

   => P(original) = k*6^2 = 36k

   After breaking it down into three pieces, we get the weights as 3, 2, and 1

   => P(3) = k*3^2 = 9k

   => P(2) = k*2^2 = 4k

   => P(1) = k*1^2 = k

   => P(new) = 9k + 4k + k = 14k

   Loss = 36k – 14k = 4620 Rs.

   => 22k = 4620 Rs.

   => k = 210

   => Price (original) = 210*36 = 7560 Rs.

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