Question

15.In a city there are few engineering, MBA and CA candidates. Sum of four times the
engineering, three times the MBA and 5 times CA candidates is 3650. Also three times CA is equal
to two times MBA and three times engineering is equal to two times CA. In total how many MBA
candidates are there in the city?a)450 b)550 c).​

Answer 1

Answer: 450 MBA students

Step-by-step explanation:

Answer 2

Answer:  The correct option is (a) 450.

Step-by-step explanation:  Given that in a city there are few engineering, MBA and CA candidates.

Sum of four times the  engineering, three times the MBA and 5 times CA candidates is 3650. Also three times CA is equal  to two times MBA and three times engineering is equal to two times CA candidates.

We are to find the number of MBA candidates in the city.

Let n, m and r represents the number of engineering candidates, MBA candidates and CA candidates respectively.

Then, according to the given information, we have

$4n+3m+5r=3650~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3r=2m\\\\\Rightarrow m=\dfrac{3}{2}r~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3n=2r\\\\\Rightarrow n=\dfrac{2}{3}r~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the values of m and n from equation (ii) and (iii) in equation (i), we get

$4\times\dfrac{2}{3}r+3\times\dfrac{3}{2}r+5r=3650\\\\\\\Rightarrow \dfrac{16r+27r+30r}{6}=3650\\\\\Rightarrow 73r=6\times3650\\\\\Rightarrow r=6\times50\\\\\Rightarrow r=300.$

From equation (iii), we get

$m=\dfrac{3}{2}\times300=450.$

Thus, the required number of MBA candidates in the city is 450.

Option (a) is CORRECT.