Question

In a survey of 250 students, 60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog

Answer 1

Explanation:

Given:

250 students And respective percentage of students who are having dogs and cats.

To Find:

60% said that they have a cat. Of the students who have a cat, 70% also have a dog. Of the students who do not have a cat, 75% have a dog

Solution:

Taking each condition as follows:

60% of 250 have cats

i.e 0.6 *250= 150 students have cats

So 150 students of that 70% has dogs

i.e 0.7*150=15*7=105 students have dogs

Now 40 % of 250 dont have cats

i.e 0.4*250=100 students dont have cats

So Of which 75 % have dogs

i.e 0.75*100= 75 students will have dogs.

Now making tabular forms to understand properly,

(Refer the Attachment)