| 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 |
A) Rs. 18
B) Rs. 17.50
C) Rs. 14
D) Rs. 21
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, \[5T=4E\]\[\Rightarrow \]\[T=\frac{4}{5}E\] |
| \[\Rightarrow \] \[12E=9D\]\[\Rightarrow \]\[D=\frac{12}{9}E\] |
| \[\Rightarrow \] \[6D=8S\] |
| \[S=\frac{6}{8}D=\frac{6}{8}\times \frac{12}{9}E=E\] |
| \[\therefore \]\[25\times \frac{4}{5}E+20E+18\times \frac{12}{9}E+12E=1330\] |
| \[\therefore \] \[76E=1330\] |
| \[\Rightarrow \] \[E=17.50\] |
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