Question

A diamond fell down and broke into pieces, which are in the ratio 1:2:3. it is also known that the price of the diamond is directly proportional to the weight. if the value of the whole diamond was ES. 36000, what is the loss incurred for the breakage?

Answer 1

Answer:

The loss incurred for the breakage is 21982

Step-by-step explanation:

Step 1:

Given Data

Price of diamond = Rs.36000.

As price is proportional to square of weight of diamond, weight of diamond = √36000 = 189.73  

Step 2:

This weight of 190 units is divided in the ratio 1: 2: 3.

Step 3:

Hence their weights are (1/6) x 190, (2/6) x 190, (3/6) x 190  

Step 4:

Hence their price are $32^{2}, 63^{2}, 95^{2}$, i.e.  

Step 5:

Hence total price of three pieces = 1024+3969+9025= 14018.

Step 6:

Therefore loss involved in cutting = 36000 - 14018 = 21982