A man spends 3/4 of his salary on food , rent, transport and 1/10 of the remainder on clothes . What percentage of his salary is left?
3/4 + 1/10 * 1/4 = 0.75 + 0.025 = 0.775
That leaves 0.225 = 22.5%
We need answers
To find the percentage of the man's salary that is left, we need to subtract the amount spent on food, rent, and transport, as well as the amount spent on clothes, from his total salary.
Given that the man spends 3/4 of his salary on food, rent, and transport, we can calculate the amount spent on these expenses by multiplying his salary by 3/4:
Expenses = (3/4) * Salary
The remainder, or the amount left after expenses, can be calculated by subtracting the expenses from the man's salary:
Remainder = Salary - Expenses
Next, we are told that the man spends 1/10 of the remainder on clothes. So, we can calculate the amount spent on clothes by multiplying the remainder by 1/10:
Clothes = (1/10) * Remainder
Finally, we can find the percentage of the man's salary that is left by subtracting the amount spent on clothes from the remainder, and then dividing by the salary and multiplying by 100:
Percentage Left = ((Remainder - Clothes) / Salary) * 100
By following these steps, we can determine the percentage of the man's salary that is left.
To find out what percentage of his salary is left, we need to calculate what portion of his salary is spent on food, rent, transport, and clothes, and then subtract that amount from 100%.
Let's assume the man's salary is $100 (any currency can be used).
1. Calculate the portion spent on food, rent, and transport:
3/4 of his salary is spent on expenses.
(3/4) * $100 = $75
2. Calculate the remainder after expenses:
Subtract the expenses from his salary.
$100 - $75 = $25
3. Calculate the portion spent on clothes:
1/10 of the remainder is spent on clothes.
(1/10) * $25 = $2.50
4. Calculate the amount of salary left:
Subtract the amount spent on clothes from the remainder.
$25 - $2.50 = $22.50
5. Calculate the percentage of salary left:
To find the percentage, divide the amount left by the original salary and multiply by 100%.
($22.50 / $100) * 100% = 22.5%
Therefore, 22.5% of his salary is left.