Question #faafa

1 Answer
Apr 14, 2016

The lesser quantity is 64% of the greater quantity

Explanation:

Be vary careful about ratios!

If you have a ratio of 16 to 25 you have a whole that is composed of 16 parts of one thing to 25 parts of something different in some way.

In other words; the whole is #16+25#

The 16 parts represents #16/41 ~~ 39.02% underline("of the whole")# to 2 decimal places

The 25 parts represents #25/41~~60.98% underline("of the whole")# to 2 decimal places.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Matching the % in the question")#

However, after inspection of the options, the question is really asking; as a percentage what is #16/25# and this is:

#16/25 xx 100 = 64%# So the answer is D for that context

So the lesser quantity is 64% #underline("of the greater quantity")#