Question

. An empty metal container (without its handle) weight 15% of its weight when filled with a

particular liquid. After adding the handle, the weight of the fully filled container increases by

5%. If the weight of a partly filled container is 1/3 of the completely filled container with

handle attached, then what fraction of container is utilized?

Answer 1

Suppose a full container w/o the handle weighed 100g, then the container would weigh 15g and the liquid 85g. Adding a handle adds 5%, or 5 grams, so a full container with a handle would weight 15g+85g+5g=105g. One-third of this total is 35g, subtracting the container and the handle we have 35g - 5g - 15g = 15g, giving a fraction of 15g85g=317 

I guess this the way I m not sure