Question

A diamond falls down and breaks into pieces whose weight are in the ratio 1 : 3 : 6. if the value of the diamond is proportional to the square of its weight, and its original value is rs.30000, what is the loss in value due to breakage

Answer 1

Answer:

16200

Explanation:

30000=10k

k=300

1*300=300

9*300=2700

36*300= 10800

adding all 13800

substact from 30000

ans is 16200

Answer 2

The answer is ₹ 16200.

Given,

The ratio of weights = 1:3:6

Original value = ₹30000

To Find,

Loss in value due to breakage.

Solution,

Let each unit weight be x

We know that the price is proportional to the square of its weight.

⇒ p ∝ (w)²

Let p₁ be the original price

∴ p₁ = ( x + 3x + 6x)²

  30000 = ( 10x )²

  30000 = 100x²

⇒ x² = 300

Let p₂ be the new value

∴ p₂ = (x)² + (3x)² + (6x)²

  p₂ = x² + 9x² + 36x²

  p₂ = 46x²

  p₂ = 46 (300)

∴ p₂ = ₹13800

∴ Loss = ₹30000 - ₹13800

           = ₹16200

Hence, the loss is ₹ 16,200.