Question

price of a diamond is in the proportion to the square of its weight. a diamond costing rs. 216000 breaks into three pieces. if the weight of the three pieces in the ratio of 1:2:3 finds the loss due to this breakage.​

Answer 1

Answer:

please follow me

Step-by-step explanation:

Price of diamond = Rs.5184. As price is proportional to square of weight of diamond, weight of diamond = √5184 = 72.

This weight of 72 units is divided in the ratio 1 : 2 : 3.

Hence their weights are (1/6)x72, (2/6)x72, (3/6)x72v OR 12, 24, 36 units by weight.

Hence their price are 12², 24², 36² , i.e., 144, 576, 1296.

Hence total price of three pieces = 144+576+1296 = 2016.

Therefore loss involved in cutting = 5184 - 2016 = 3168

Answer 2

Hey mate,

Cost of diamond =k(weight) 2

8000=k(10)2

k= 1008000

=80

Diamond was broke into two pieces =

3x+2x=10,

5x=10⇒x=2

Ist part: 3x=6

IInd part: 2x=4

Ist part; cost⇒80×36=2880

IInd part; cost⇒80×16=1280

Total cost = 2880+1280=4160

So loss = 8000−4160=3840

$(So.the.loss) {}^{}$

3840

Hope it helps...

$( Itz ❤Aakanksha❤ here! ) {}^{}$