Question

A diamond falls and breaks into three pieces whose weights are in the ratio 3:4:5. the value of the diamond is proportionate to the square of its weight. if the value of the original diamond is rs.72, 000, what is the loss in value due to the breakage?

Answer 1

loss of 47000 rs may be ?

Answer 2

Answer: The loss in the value due to the breakage is $47000.

Step-by-step explanation:

Since we have given that

Breakage of diamond into three pieces in which

Weight are in the ratio 3:4:5.

According to question,

Value of diamond is proportionate to the square of its weight.

So, Mathematically, it is expressed as

$Value=k(3+4+5)^2\\\\72000=k12^2\\\\72000=144k\\\\\dfrac{72000}{144}=k\\\\k=500$

So, value of first piece is $500\times 3^2=4500$

value of second piece is $4^2\times 500=8000$

value of third piece is $5^2\times 500=12500$

total value would be

$4500+8000+12500\\\\=25000$

So, the loss in value due to the breakage would be

$Rs.72000-Rs.25000\\\\=Rs.47000$