Question : If A's income is 40% of B's income and B's income is 24% more than C's income, then by what percentage is C's income more than A's income? (Your answer should be correct to one decimal place.)
Option 1: 104.2
Option 2: 75.6
Option 3: 101.6
Option 4: 50.4
Correct Answer: 101.6
Solution :
Let the income of C be 100.
Income of B is 24% more than C, then the income of B $=100 \times \frac{124}{100} = 124$
The income of A is 40% of B, then the income of A $=124 \times\frac{40}{100} = 49.6$
The income of C is more than that of A = $\frac{\text{Difference of incomes of C and A}}{\text{Income of A}}\times 100$%
= $\frac{100– 49.6}{49.6}\times 100$
= $\frac{50.4}{49.6}\times 100$
= 101.6%
Hence, the correct answer is 101.6.
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