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

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.