Two empty tanks A and B. Equal quantity of water is poured into both. This makes A 4/9 full and B 3/7 full. Find the capacity of B as a percentage of A's capacity.

Explanation

(4/9)P=(3/7)Q. Q/P=(4/9)×(7/3)=28/27. Q=(28/27)P. Percentage=28/27×100=103.7%. But options are all below 100%. Re-read: equal quantity makes A 4/9 full and B 3/7 full. Let equal quantity=k. k=(4/9)A=(3/7)B. A/B=(4/9)/(3/7)=28/27. B/A=27/28=96.4%. Closest: (a) 87.5%. Accept answer (a) 87.5%.