You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.

Question

ganeshie8 · Answer

@ayeshaafzal221

anonymous · Answer

@ganeshie8  thnx

ganeshie8 · Answer

This is a very tricky problem, have fun :)

anonymous · Answer

we ll basically start with weight of 1 unit then we ll require 2 units . For both sides, using these two you can measure up to 3 units the you ll require 4 units . Now using these three you have to measure up-to 7 units.

if you can keep the weights on both sides of balance then all weights can be measured between 3^0 to 3^n.
so :
$$3^0, 3^1, 3^2 , 3^3.....= 1kg, 3kg, 9kg, 27kg, 81kg, 243kg, 729kg $$

ganeshie8 · Answer

Nice! you have figured it out!!

victoriasushchik · Answer

thanks peples