top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

A rich farmer died leaving behind a hundred acres of his farm to be divided among his three daughters...

+2 votes
514 views

A rich farmer died leaving behind a hundred acres of his farm to be divided among his three daughters Rashmi, mala, rekha -in the proportion of one-third, one-fourth and one-fifth. But Rekha died unexpectedly.
Now how should the executor divide the land between Rashmi and Mala in a fair manner?

posted Mar 29, 2016 by Joyce

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

3 Answers

0 votes

Give them half each

answer Mar 30, 2016 by Carrie England
0 votes

It is a Ratio- Proportion problem.
Division must be proportionately divided between them.
Case-1
If 3 of daughters alive: They get the share of their property.
Total 100 acres. divided into 12 parts.
1st daughter get share of 100/12 x 5 = 41.67 acres.
2nd daughter get share of 100/12 x 4 = 33.33 acres.
3rd daughter get share of 100/12 x 3 = 25.00 acres.
Case-2
2 daughters alive. 3rd daughter died.
Total 100 acres. divided into 9 parts.
1st daughter get share of 100/9 x 5 = 55.56 acres.
2nd daughter get share of 100/9 x 4 = 44.44 acres.
ANS: executor divide the land between Rashmi (55.56 acres) and Mala (44.44 acres)

answer Jul 3, 2017 by Prabhakara Reddy
0 votes

Initial ratio is 1/3: 1/4: 1/5
Taking LCM
Ratio = 20/60:15/60:12/60
=20 acres, 15 acres, 12 Acres (Balance 13 acres are not shared among them)
After the death of REKHA, her share of 12 Acres have to be divided in the ratio 20:15:13
Rashmi's share = 12 (20/48) = 5 acres
Mala's share = 12 (15/48) = 3.75
So total RASHMI's share = 20+5=25
Mala's share = 12+3.75 = 15.75=

They have to share in the ratio of 25: 15.75
=100:63

answer Jul 16, 2017 by Thillairajan



Similar Puzzles
+1 vote

There once was a somewhat eccentric wine seller who died, leaving three sons behind him. He also left 7 full barrels of wine, 7 half-full barrels of wine, and 7 empty wine barrels. Being somewhat eccentric, he noted in his will that each son was to receive the same number of full barrels, half-full barrels, and empty barrels. How is this possible?

+1 vote

A king dies after writing an agreement to divide the elephant power to his three sons, the first son has to get 1/2 of elephants, second son gets 3/4th of remaining elephants left after giving away to the first son, third son gets 1/2th of remaining elephants left after giving away to the second son. The total number of elephants are 15. All elephants are to be divided without leaving anyone of them behind. Can you solve it?

+1 vote

As per the will of a late farmer, his property would have to be divided in the following way.
The eldest got half of the land and an added 2 acres. Second son received half of the remaining land plus 2 acres. Third son got half of the remaining +2 acres. But as the fourth son took half of the remaining plus 2 acres of land, there was nothing left for the fifth son.

How many acres of land did the farmer originally have?

0 votes

Raunit was divided his company shares among Rohan and Gautam in the ratio 4 : 7.
If Gautam's share was 3500 nos., What was the total sum of shares in numbers?

...