The income of X is 15% less than that of Y and the income of Z is 60% less than the combined income of X and Y. By what percent is the income of Z less than the income of X? (correct one decimal place)
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 12.9%
Let Y’s income = ₹100
X’s income = 15% less than Y
= ₹100 − 15% of 100 = ₹100 − ₹15 = ₹85
Combined income of X and Y = 85 + 100 = ₹185
Z’s income = 60% less than ₹185 = 40% of ₹185 = (40/100) ×185 = ₹74
% by which Z's income is less than X = {(85−74)/85} ×100 = 11/85 × 100 ≈ 12.9%