Question

Mary's income is $60$ percent more than Tim's income, and Tim's income is $40$ percent less than Juan's income.What percent of Juan's income is Mary's income?

• A. $124\%$
• B. $120\%$
• C. $96\%$
• D. $80\%$
• E. $64\%$

Answer 1

The correct option is C $96\%$

Let $M$ be Mary's income, $T$ be Tim's income and $J$ be Juan's income respectively.

Mary's income is $60\%$ more than Tim's.

So, $M=T+0.60T=1.60T$

Since Tim's income is $40$ percent less than Juan's income,

Tim's income equals to $100-40=60$ percent of Juan's income or $T=0.6J$.

Substituting $0.6J$ for $T$ in the first equation, we get

$M=1.6\left(0.6J\right)$ or $M=0.96J$
Thus, Mary's income is $96\%$ of Juan's income.