(i) Find the total percent of his money got by his son and daughter.
The man gave 35% of his money to his son, and 25% to his daughter, so the total percent of both is:
Total percent (son and daughter) = 35%(son) + 25%(daughter)
Total percent (son and daughter) = 35% + 25%
Total percent (son and daughter) = 60%
The total percent of his money got by his son and daughter is 60%.
(ii) Find the total percent of his money got by his wife.
The man gave 35% of his money to his son, and 25% to his daughter, and the remaining to his wife. We can write as:
35%(son) + 25%(daughter) + x%(wife) = 100%(the man total money)
Clear the x%(wife) in the equation
x%(wife) = 100% - (35% + 25%)
x%(wife) = 100% - 60%
x%(wife) = 40%
The total percent of his money got by his wife is 40%.
(iii) How much money did the man have?
The man gave to his wife Rs 27000 which represents 40% of the total money. To find how much money did the man have we have to use the rule of three as follow:
Rs 27000 > 40%
x < 100%
x = [Rs 27000 (100)]/40
x = Rs 2700000/40
x = Rs 67500
The man had Rs 67500
(iv) Calculate the amount of money received by his son and daughter
From the total of Rs 67500, the son received 35% and the daughter 25%, using the rule of three:
son(amount of money) = [Rs 67500(35)]/100
son(amount of money) = Rs 2362500/100
son(amount of money) = Rs 23625
daughter(amount of money) = [Rs 67500(25)]/100
daughter(amount of money) = Rs 1687500/100
daughter(amount of money) = Rs 16875
The amount of money received by his son is Rs 23625 and his daughter is Rs 16875.
