Question

A piece of diamond of 7800 rupees is divided into 3 part the ratio of the weight of the piece 5 : 7 : 8 and the value of the diamond is proportional to square of the weight the find the loss from dividation of the diamond

Answer 1

Answer:

Rs. 5109

Step-by-step explanation:

Price of diamond = Rs.7800.

As price is proportional to square of  weight of diamond, weight of diamond = √7800= 10√78.

This weight of 10√78 units is divided in the ratio 5 : 7 : 8.

Hence their weights are (5/20)x10√78, (7/20)x10√78, (8/20)x10√78

=  5√78/2, 7√78/2, 4√78 units by weight.

Hence their price are [5√78/2]², [7√78/2]², [4√78]² , i.e., 487.5, 955.5, 1248

Hence total price of three pieces = 487.5 + 955.5 + 1248 = 2691.

Therefore loss involved in cutting = 7800 - 2691 = Rs. 5109