Quantitative Aptitude Ques 1375

Question: A group consisting of 25 teachers 20 engineers, 18 doctors and 12 salesmen visited a fair and spent Rs. 1330 altogether. It was found that 5 teachers spent as much as 4 engineers, 12 engineers spent as much as 9 doctors and 6 doctors spent as much as 8 salesmen. If every person in a professional group spent the same amount, the amount spent by each engineer is

Options:

A) Rs. 18

B) Rs. 17.50

C) Rs. 14

D) Rs. 21

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let group of teacher, engineers, doctor and salesman denoted by T, E, D, and S, respectively, According to the question. $ 25T+20E+18D+12S=1330 $ Given, $ 5T=4E $
    $ \Rightarrow $ $ T=\frac{4}{5}E $

$ \Rightarrow $ $ 12E=9D $
$ \Rightarrow $ $ D=\frac{12}{9}E $

$ \Rightarrow $ $ 6D=8S $ $ S=\frac{6}{8}D=\frac{6}{8}\times \frac{12}{9}E=E $

$ \therefore $ $ 25\times \frac{4}{5}E+20E+18\times \frac{12}{9}E+12E=1330 $

$ \therefore $ $ 76E=1330 $

$ \Rightarrow $ $ E=17.50 $