If 10% of A is equal to 120% of B, then what percent of B is A?
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Wait, I set it up as 0.1A = 1.2B and got A = 12B, so A is 1200% of B. That felt way too big until I plugged in a number to check. Medium difficulty for me — the trap is definitely the 'percent of B' wording.
Same here, I almost picked 12 because I forgot to multiply by 100 at the end. Classic percent conversion slip.
Yeah, plugging in B = 10 makes it obvious. 0.1A = 12, so A = 120, and 120 is 1200% of 10.
Is (E) there just to catch people who slip an extra zero? 1200 vs 12000 seems like a deliberate distractor.
Probably. Also (A) traps anyone who stops at the ratio of 12.
Thanks, this one was quick once I translated the sentence directly. Setting up the equation first saved me from guessing.
Agreed, writing 10% of A = 120% of B as an equation is the whole game here.
What it tests
Your ability to compute percentage change, percentage of a whole, and to work backwards from a final value.
Common trap
Treating successive percentage changes as additive — a 10% rise then a 10% fall is not back to the start.