Question

a man distributed his property among his three sons and wife.he give 1/5 of his whole property to his eldest son, 1/3 of the Rest to second son, 3/8 of the rest to its third son and the rest his wife. his wife What rupees 1,200, find is whole property.​

Answer 1

Answer :

Total amount of property is 144000/11 rupees.

Step-by-step explanation:

Let the total property be x.

Given :–

There are 3 sons and 1 wife among whom the property is to be distributed.

Amount of property given to eldest son =1x/5

Amount given to second son=1x/3

Amount given to third son=3x/8

Total amount given to all the three sons

=[1x/5+1x/3+3x/8]

=[ 109x/120]

Amount left for wife

=( total amount - sum of amount of 3 sons)

=(x-109x/120)

=(11x/120)

Now, given amount of wife is 1, 200 rupees.

Therefore on solving,

11x/120=1200

x=1200*120/11

=144000/11

Amount with elder son

=1/5*144000/11

=28800/11 rupees

Amount with second son

=1/3*144000/11

=48000/11 rupees

Amount with third son

=3/8*144000/11

=54000/11 rupees

Total amount:

=28800/11+48000/11+54000/11+1200

=130800/11+1200

=130800+13200/11

=144000/11 rupees.