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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
Read Solution (Total 4)
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- 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)
- 11 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)
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