A man monthly salary is 12,000, 1/4 of the salary is spent on rent. Out of the remainder, 2/5 is spent on food, and 1/8 on transport. How much has he left?
salary ---- 12,000
spent on rent = (1/4)(12000) = 3,000
leaving 9000
spent on food = (2/5)(9000) = 3600
spent on transp = (1/8)(9000) = 1125
leaving 9000 - (3600+1125) = 4275
or
amount spent on food + transp = 2/5 + 1/8 = 21/40
amount left = 12000(1 - 1/4)(1 - 21/40) = 4275
To determine how much the man has left after deducting expenses, let's break down the problem step by step.
Step 1: Calculate the amount spent on rent
Given that 1/4 of the monthly salary is spent on rent, we can find this amount by multiplying the salary by 1/4:
Rent = 1/4 * Salary
Substituting the given value of the monthly salary, we have:
Rent = 1/4 * 12,000
Calculating this, we find the amount spent on rent is:
Rent = 3,000
Step 2: Calculate the remainder after paying rent
To determine the amount remaining after paying rent, we need to subtract the rent from the monthly salary:
Remainder = Salary - Rent
Substituting the given value of the monthly salary and calculated rent, we have:
Remainder = 12,000 - 3,000
Calculating this, we find the remainder is:
Remainder = 9,000
Step 3: Calculate the amount spent on food
Given that 2/5 of the remainder is spent on food, we can find this amount by multiplying the remainder by 2/5:
Food = 2/5 * Remainder
Substituting the calculated value of the remainder, we have:
Food = 2/5 * 9,000
Calculating this, we find the amount spent on food is:
Food = 3,600
Step 4: Calculate the amount spent on transport
Given that 1/8 of the remainder is spent on transport, we can find this amount by multiplying the remainder by 1/8:
Transport = 1/8 * Remainder
Substituting the calculated value of the remainder, we have:
Transport = 1/8 * 9,000
Calculating this, we find the amount spent on transport is:
Transport = 1,125
Step 5: Calculate the amount left
To determine the amount the man has left, we need to subtract the amounts spent on food and transport from the remainder:
Amount Left = Remainder - (Food + Transport)
Substituting the calculated values, we have:
Amount Left = 9,000 - (3,600 + 1,125)
Calculating this, we find the amount left is:
Amount Left = 4,275
Therefore, the man has $4,275 left after deducting expenses.
To find out how much money the man has left after all his expenses, we need to calculate each step one by one.
Step 1: Calculate the amount spent on rent.
1/4 of the monthly salary is spent on rent, so the amount spent on rent is:
(1/4) * 12,000 = 3,000
Step 2: Calculate the remainder.
To find the remainder after rent, we subtract the amount spent on rent from the monthly salary:
12,000 - 3,000 = 9,000
Step 3: Calculate the amount spent on food.
2/5 of the remainder is spent on food, so the amount spent on food is:
(2/5) * 9,000 = 3,600
Step 4: Calculate the amount spent on transport.
1/8 of the remainder is spent on transport, so the amount spent on transport is:
(1/8) * 9,000 = 1,125
Step 5: Calculate the amount left.
To find out how much money is left, we subtract the amounts spent on food and transport from the remainder:
9,000 - 3,600 - 1,125 = 4,275
Therefore, the man has 4,275 left after all his expenses.