Rajesh distributed his capital 1/2 of the capital to his wife 1/3 to his son & remaining 50000 to his daughter.find total amount of his capital
c = capital
1 = 6 / 6
1 / 2 = 3 / 6
1 / 3 = 2 / 6
c - ( 1 / 2 ) c - ( 1 / 3 ) c = ( 6 / 6 ) c - ( 3 / 6 ) c - ( 2 / 6 ) = ( 1 / 6 ) c = c / 6
c / 6 = 50 000
Multiply both sides by 6
c = 300 000
To find the total amount of Rajesh's capital, we need to add together the amounts he distributed to his wife, son, and daughter.
Let's break down the information given:
1/2 of the capital went to his wife
1/3 of the capital went to his son
The remaining amount after those distributions was 50000.
Let's calculate the amount distributed to each person:
Amount distributed to wife = (1/2) * total capital
Amount distributed to son = (1/3) * total capital
Amount distributed to daughter = Remaining amount = 50000
Now, we can set up the equation:
Amount distributed to wife + Amount distributed to son + Amount distributed to daughter = Total Capital
(1/2) * total capital + (1/3) * total capital + 50000 = Total Capital
To simplify this equation, we can find a common denominator for the fractions:
(3/6) * total capital + (2/6) * total capital + 50000 = Total Capital
Now, we can add the fractions with the same denominator:
(5/6) * total capital + 50000 = Total Capital
Next, we can subtract Total Capital from both sides of the equation to isolate the variable:
(5/6) * total capital - Total Capital = -50000
Now, we can factor out Total Capital on the left side of the equation:
Total Capital * ((5/6) - 1) = -50000
To simplify further, we need to find a common denominator for 5/6 and 1:
Total Capital * ((5/6) - (6/6)) = -50000
Total Capital * (-1/6) = -50000
Now, we can solve for Total Capital by dividing both sides of the equation by -1/6:
Total Capital = -50000 / (-1/6)
Remember that dividing by a fraction is the same as multiplying by its reciprocal:
Total Capital = -50000 * (-6/1)
Total Capital = 50000 * 6
Total Capital = 300000
Therefore, the total amount of Rajesh's capital is 300000.