a person divided a certain amount between Son and daughter such that Son got one fifth part and daughter got 1 sixth part and saves remaining amount in 3 scheme x y and z in the ratio of 5:6:8 if he says rupees 40000 in schemes z find the difference between the amount received by son and the daughter.

5k

Let total sum of money be x. 1/5 of x goes to son and 1/6 of x goes to the daughter i.e 5/30 x. so remaining money is 19/30 x. sum invested in z scheme is 8/19 of the remaining money hence 8/19 * (19/30)x= 40000. Solving for x gives us the total amount as 150000 the amounts given to son and daughter as 30000 and 25000 respectively. hence the difference is 5000.