in a class 3/4 of the pupils wore spectacles 1/3 of the pupils who did not wear spectacles were boys what fraction of all the pupils were boys who did not wear spectacles
(1-3/4) * 1/3 = ?
To find the fraction of all the pupils who were boys and did not wear spectacles, we need to combine the information given in the two statements.
First, let's calculate the fraction of pupils who wore spectacles. It is given that 3/4 of the pupils wore spectacles.
Next, we need to find the fraction of pupils who did not wear spectacles. Since the fraction of pupils who wore spectacles is 3/4, the fraction of pupils who did not wear spectacles would be 1 - 3/4, which is 1/4.
Now, we have the fraction of pupils who did not wear spectacles, which is 1/4. From this group, it is given that 1/3 of the pupils who did not wear spectacles were boys.
To find the fraction of boys who did not wear spectacles, we multiply the fraction of pupils who did not wear spectacles (1/4) with the fraction of boys among them (1/3). Therefore, the fraction of boys who did not wear spectacles is (1/4) * (1/3) = 1/12.
Hence, the fraction of all the pupils who were boys and did not wear spectacles is 1/12.