Quantitative Aptitude Quest
Percentage
Jim's weight is 140% of Marcia's weight. Bob's weight is 90% of Lee's weight. Lee weights twice as much as Marcia. What percentage of Jim's weight is Bob's weight?
1. 64 2/7
2. 77 7/9
3. 90
4. 128 4/7
To do computations, change percentages to decimals. Let J, M, B and L stand for Jim's, Marcia's, Bob's, and Lee's respective weights. Then we know J = 1.4M, B = .9L, and L = 2M. We need to know B as a percentage of J. Since B = .9L and L = 2M, we have B = .9(2M) = 1.8M. J = 1.4M is equivalent to M = (1/(1.4))J. So B = 1.8M = 1.8(1/(1.4))J = (1 2/7)J. Converting 1 2/7 to a percentage, we have 1 2/7 = 1.28 4/7 = 128 4/7%, so (D) is the correct answer