The price of a diamond is proportional to the square of its weight. The diamond accidentally fell and broke into four pieces whose weights are in the ratio of 1 : 2 : 3 : 4. If the price fetched is Rs. 70,000 less than the original price, find the original price?
1. Rs. 100,000
2. Rs. 70,000
3. Rs. 160,000
4. Rs. 10800

• given p=w^2
  (w^2/100)+(4w^2/100)+(9w^2/100)+(16w^2/100)+70000=w^2
  w^2=100000=p(original price)
  
• 10 years agoHelpfull: Yes(3) No(1)
• since the ratios of weight is 1:2:3:4
  let it be as 100:200:300:400
  and p=w^2
  =>ratio of prices is 10000:40000:90000:160000
  add all those that is 30,000+70,000=100,000
• 10 years agoHelpfull: Yes(1) No(3)
• lets suppose 10 gm diamond has broken. therefore original price=100k now the price of other components are k,4k,9k,16k total 30 k means 70 k price lost i.e equals to 70000.hence k=1000.therefore original price=100*1000.so ans is option 1
• 9 years agoHelpfull: Yes(0) No(0)
• 
  We can see from the ratio that there are a total of 10 parts. So, the original value is 10^2 = 100
  
  The new values are 1^2 + 2^2 + 3^+ 4^2 = 30
  
  Therefore, 70000 represents a 70% loss of value.
  
  70000 = 7/10(x)
  
  100000 = x
  
• 9 years agoHelpfull: Yes(0) No(0)