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A worker spends 65% of his monthly salary and saves 700. What is his total monthly salary?
2000
2500
3000
3500
2000
Given: Expenditure = 65% of monthly salary, Monthly savings = 700.
Expenditure = 65% of monthly salary, Monthly savings = 700.
S=100тИТExpenditure%100├ЧSavingsтАЛ
Since expenditure is 65%, savings must be 100%тИТ65%=35%. Simply calculate 700/0.35 by doubling 700 to 1400 and dividing by 0.7 to get 2000.
Students often calculate 65% of 700 instead of recognizing that 700 represents the remaining 35% of the total.
Calculate the percentage of savings
Since the worker spends 65% of his salary, the remaining part is saved. Total percentage is 100%.
100%тИТ65%=35%
Set up the equation
Let the total salary be x. We know that 35% of x is 700.
0.35├Чx=700
Solve for x
Divide the savings by the savings percentage to find the total salary.
x=0.35700тАЛ=3570000тАЛ=2000
A is correct because 35% of 2000 equals 700, confirming the total monthly salary is 2000.
This logic is identical to 'Profit and Loss' problems where the cost price is the base (100%) and you calculate the selling price based on profit or loss percentages.