A man spends 2/7 of his income on food and 3/7on clothing. If he still saves Rs. 500, what is his total income?
(1-5/7)x = 500
Solve for x.
salary is 700
To find the man's total income, we need to calculate the amount of money he spends on food and clothing.
Let's assume the man's total income is "x" rupees.
According to the given information, he spends 2/7 of his income on food. Therefore, the amount of money spent on food is (2/7) * x.
Similarly, the man spends 3/7 of his income on clothing. Therefore, the amount of money spent on clothing is (3/7) * x.
The total amount he spends on food and clothing is the sum of these two amounts: (2/7) * x + (3/7) * x.
We are also given that the man saves Rs. 500. So, the amount of money he saves is 500.
Now we can set up an equation to solve for x:
x - [(2/7) * x + (3/7) * x] = 500
To simplify the equation:
x - (5/7) * x = 500
(2/7) * x = 500
To isolate x, we can multiply both sides of the equation by (7/2):
x = 500 * (7/2)
Simplifying:
x = 2500
Therefore, the man's total income is Rs. 2500.