This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Assume a value for B's income. Let B's income be 100. Step 2: Calculate A's income. A is 28% more than B. A's income = 100 + (0.28 × 100) = 100 + 28 = 128 Step 3: Calculate the sum of A's and B's income. Sum of A and B = A's income + B's income = 128 + 100 = 228 Step 4: Calculate C's income. C is 25% less than the sum of A and B. C's income = 228 - (0.25 × 228) = 228 - 57 = 171 Step 5: Calculate the percentage by which C's income is more than A's income. To find how much C's income is more than A's income in percentage, we use A's income as the base. Difference = C's income - A's income = 171 - 128 = 43 Percentage more = DifferenceA's income × 100\% Percentage more = (43)/(128) × 100\% Percentage more = (4300)/(128)\% Percentage more ≈ 33.59375\% Rounding to one decimal place, this is 33.6\%. Comparing this with the given options, option (d) is 33.6\%. The final answer is (d) 33.6\%. That's 2 down. 3 left today — send the next one.