A man spent one fourth of his monthly salary on rent, two fifth of the remaining on food and one sixth of still remained on drinks. What fraction did he spent on drinks
2/5(M*3/4)(1/6)=drinks
2*3/5*4*6 = 1/20th on drinks.
To find the fraction of the monthly salary spent on drinks, we need to follow these steps:
1. First, let's represent the man's monthly salary as 1 whole.
2. The man spent one-fourth of his salary on rent. This means he spent (1/4) of the salary on rent, which can also be written as (1/4) * 1.
3. After paying rent, the man has (1 - 1/4) of the salary remaining. This can be simplified as (3/4) * 1.
4. Next, the man spent two-fifths of the remaining salary on food. This means he spent (2/5) * (3/4) of the salary on food.
5. After paying for food, the man has (1 - (2/5) * (3/4)) of the salary remaining. Simplifying this expression gives us (3/5) * (3/4) * 1.
6. Finally, the man spent one-sixth of the remaining salary on drinks. This means he spent (1/6) * (3/5) * (3/4) of the salary on drinks.
To calculate the final fraction, multiply all the fractions together:
(1/6) * (3/5) * (3/4) = 9/120 = 3/40
Therefore, the man spent 3/40 of his monthly salary on drinks.