The average age of a group consisting of doctors and lawyers is 40 years. If the doctors' average age is 35 and that of lawyers' is 50 years, then the ratio of the number of doctors to the number of lawyers is

3 : 2

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3 : 1

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2 : 1

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1 : 2

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Solution

The correct option is D $2 : 1$
Let m and n denote the number of doctors and lawyers, respectively. Then
$\frac{35 m + 50 n}{m + n} = 40$
So, $40 (m + n) = 35 m + 50 n$
$5 m = 10 n ⟹ \frac{m}{n} = 2$

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The percentage of doctors that fall into the 35 to 40 years age group (both inclusive) is at least

The following histogram represents the age group of doctors enrolled in a certain program.

Find the number of doctors:
(i) who are in the age group between 25-35.

(ii) how many doctors belong to the age group between 45 - 50?

(iii) number of doctors below the age group of 25.

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