Seats of physics, Chemistry and Mathematics in a school are in the ratio 4: 5: 6. There is a proposal to increase these seats by 75 in each department. What were the total number of seats in the school finally?Options :600750900Data Inadequate
Question
Seats of physics, Chemistry and Mathematics in a school are in the ratio 4: 5: 6. There is a proposal to increase these seats by 75 in each department. What were the total number of seats in the school finally?Options :600750900Data Inadequate
Solution
The problem states that the seats of Physics, Chemistry, and Mathematics are in the ratio 4:5:6. This means that for every 4 seats in Physics, there are 5 in Chemistry and 6 in Mathematics.
The total ratio is therefore 4+5+6 = 15.
The problem also states that there is a proposal to increase these seats by 75 in each department. This means that the total number of seats will increase by 75*3 = 225.
We are asked to find the total number of seats in the school finally.
Since the total ratio is 15 and the total increase is 225, we can find the value of each ratio unit by dividing the total increase by the total ratio.
So, 225/15 = 15. This means that each ratio unit represents 15 seats.
Therefore, the total number of seats in the school finally is 15*15 = 225 (the original number of seats) + 225 (the increase) = 450 seats.
However, none of the options (600, 750, 900) match this answer. Therefore, the data is inadequate to answer the question.
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