30% of the crowd at a mall is > 25 years and 80% of the crowd at the mall is <50 years. 20% of the crowd visits bantaloons. If 20% of the crowd above the age of 50 visitbantaloons, then what percentage of bantaloon visitors are < 50 years?

40%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

70%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

90%

No worries! We‘ve got your back. Try BYJU‘S free classes today!

80%

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 80%
20% of the crowd is above 50 years. 20% of this crowd visits bantaloons. Therefore 20% of 20% of 4% of the total crowd above 50 years visit bantaloons and therefore 16% of the crowd below the age of 50 years visitbantaloons.

20% of entire crowd visits bantloons

therefore the % of crowd which visits bantaloons and below age of 50 = 16/20 x 100 = 80%

Shortcut:

The given information can be carefully observed.

The crowd is divided into 2 groups: lesser than 50 and greater than 50. So the entire set can be made by adding both the groups.

Now the group that is greater than 50 forms 20% of the population that visit bantaloons, hence 80% of the crowd should be below the age of 50 and this is what has been asked.

Suggest Corrections

Similar questions

Q. The age (in years) of

360

patients treated in the hospital on a particular day are given below.

Age in years	$10 - 20$	$20 - 30$	$30 - 50$	$50 - 60$	$60 - 70$
No. of patients	$80$	$50$	$80$	$120$	$30$

Draw a histogram for the above data.

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:
$\begin{matrix} Age (in years) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 & 60 - 70 Numbr of patients & 90 & 50 & 60 & 80 & 50 & 30 \end{matrix}$
Construct the cumulative frequency table for the above data.

Q. Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

Ages (in years)	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	90	50	60	80	50	30

Construct the cumulative frequency table for the above data.

Q. Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

Age (in years)	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	90	50	60	80	50	30

One of the patients is selected at random.
Find the probability that his age is
(i) 30 years or more but less than 40 years
(ii) 50 years or more but less than 70 years
(iii) less than 10 years
(iv) 10 years or more

Following are the ages (in years) of 360 patients, getting medical treatment in a hospital:

Age (in years)	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60	60 – 70
Number of patients	90	50	60	80	50	30

One of the patients is selected at random.
What is the probability that his age is
(i) 30 years or more but less than 40 years?
(ii) 50 years or more but less than 70 years?
(iii) 10 years or more but less than 40 years?
(iv) 10 years or more?
(v) less than 10 years?

Join BYJU'S Learning Program