Paul's income is 40% less than rex's income, quentin's income is 20% less than paul's income, and sam's income is 40% less than paul's income. if rex gave 60% of his income to sam and 40% of his income to quentin, quentin's new income would be what fraction of sam's new income?
(a) 11/12
(b) 13/17
(c) 13/19
(d) 12/19
(e) 11/19

Ratio of Quentin new income to Sam new income is

So option (a) will be correct option

Step-by-step explanation:

Let Rex income is 100

Then Paul income is 40 % less than Rex income 100 - 100×0.4 = 100-40 = 60

And Quentin's income is 20 % less than Paul income

So Quentin's income  is 60 - 60×0.2 = 60-12 = 48

Sam income is 40% less than Paul income

So Sam income = 60 - 60×0.4 = 60 - 24 = 36

Now Rex give 60% income Sam

So Sam new income = 36 + 100×0.6 = 60+36 = 96

And Rex give 40% of his income to Quentin's

So Quentin's  new income = 48 + 100×0.4 = 40+48 = 88

Now ratio of  Quentin's  new income to the Sam new income

So option (a) will be correct answer

b. 13

step-by-step explanation:

as there are 13 students in bowling class therefore the most reasonable answer is b as only 13 students are in the bowling class.