A doctor spends 1/3 of his salary on food,a 1/4 of the remainder on fees and saves the rest which is 24000.How much does he earn?
total earnings ---- x
food = 1/3 x or x/3
fees = (1/4)(2/3)x or x/6
savings = 2400
x/3 + x/6 + 2400 = x
solve for x, I suggest multiplying each term by 6
welp whats the answer
To find out how much the doctor earns, we need to work backwards from the given information.
Let's assume the doctor's salary is "x".
The doctor spends 1/3 of his salary on food: (1/3)x
Therefore, the remaining amount after spending on food is: x - (1/3)x = (2/3)x.
Now, the doctor spends 1/4 of the remainder on fees: (1/4)(2/3)x = (2/12)x = (1/6)x.
The amount that the doctor saves is the remaining amount after spending on both food and fees, which is 24000. Therefore, we can write the equation: (1/6)x = 24000.
To find the value of x, we can multiply both sides of the equation by 6: x = 24000 * 6.
Calculating the equation gives us: x = 144000.
Therefore, the doctor earns 144,000.