Question
A stone worth Rs.5000 drops and breaks with weight in
the ratio 1:3:6. The price of stone is directly proportional to square of its weight. Find the total loss?Solution
Let the weight of stone is 10Kg. So when it breaks, the weight of parts will be 1Kg, 3Kg & 6Kg. Now it is given that Price of stone is directly proportional to square of its weight. Original price was Rs.5000 & Let new price after break be x. Price/(Weight) 2 = constant ; So 5000/(10) 2 = x /(1 2 +3 2 +6 2 ) 5000/100 = x/46 x = Rs.2300; So the loss will be = 5000 – 2300 = Rs.2700
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