A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred.  Options
A) Rs. 5750
B) Rs. 6000
C) Rs. 5500
D) Rs. 5000
E) Rs. 7000
The price varies as the square of the weight,   P = K x W2   12250 = K x 352   K = 10   Thus, P = 10W2   When the two pieces are in the ratio 2 : 5 (Weight wise) then we know that their weights must be 10g and 25g respectively.   Their values should be :   10g piece: 10 x 102 = Rs. 1000;   25g piece: 10 x 252 = Rs. 6250.   Total value of stone now, = 1000 + 6250 = Rs. 7250   Loss incurred = 12250 - 7250 = Rs. 5000   ANSWER:Rs. 5000
<result>D</result>
A precious stone weighing 35 grams worth Rs. 12,250 is accidentally dropped and gets broken into two pieces having weights in the ratio of 2 : 5. If the price varies as the square of the weight then find the loss incurred.