A man spends 3/5 of his income on food then spends 1/4 of the remainder on school fees .he is then left with 180000 few . Find his income??
If his income is x
amount spent on food --- 3/5 x, leaving him with 2/5 x
amount spent on school ---- (1/4)(2x/5) = x/10
x - x/10 - 3x/5 = 180000
3x/10 = 180000
x = 600000
check:
spent on food = (3/5)(600000) = 360000
leaving him 240000
spends 1/4 of that or 60000 leaving him with 180000
my answer is correct
2c=4.fin value of c
To find the man's income, we can break down the information given step by step.
Step 1: Calculate the amount spent on food.
The man spends 3/5 of his income on food. Let's represent his income as "x".
So, the amount spent on food would be (3/5) * x.
Step 2: Calculate the remainder after spending on food.
The remaining amount after spending on food can be calculated by subtracting the amount spent on food from the total income.
The remainder would be x - (3/5) * x.
Step 3: Calculate the amount spent on school fees.
The man spends 1/4 of the remainder on school fees. So, the amount spent on school fees would be (1/4) * (x - (3/5) * x).
Step 4: Calculate the remaining amount after school fees.
The remaining amount after spending on school fees can be calculated by subtracting the amount spent on school fees from the previous remainder.
The remaining amount would be (x - (3/5) * x) - (1/4) * (x - (3/5) * x).
Step 5: Set up the equation.
The remaining amount after all expenses is given as 180,000. We can set up an equation using the previous calculation:
Remaining amount = (x - (3/5) * x) - (1/4) * (x - (3/5) * x) = 180,000.
Step 6: Solve the equation.
Now, we can solve the equation to find the value of "x" (the man's income).
Let's simplify the equation:
(x - (3/5) * x) - (1/4) * (x - (3/5) * x) = 180,000
(2/5) * x - (1/4) * (2/5) * x = 180,000
(2/5) * x - (1/10) * x = 180,000
(4/10) * x - (1/10) * x = 180,000
(3/10) * x = 180,000
Now, let's isolate "x" by dividing both sides by (3/10):
x = 180,000 / (3/10)
x = 180,000 * (10/3)
x = 600,000
Therefore, the man's income is 600,000.