Mr.Mathew left one-fourth of his property to his daughter as well as his son. He also left one-third of the remaining to charity and the rest to his wife. How much did his wife get if the charity amount was 100,000?

Question

Rupjit Kalita · Accepted Answer

Let the property of Mr. Mathews be x.
Since, Mr. Mathews gave his daughter and son equal part of the property, i.e., ¼ to each.
Therefore, left part of the property
= X-[(x/4)+(x/4)]
=X - x/2 = X/2
Now, he gave ⅓ of remaining part of property to charity, i.e., ⅓×[x/2]
=x/6
And, rest part of his property he gave to his wife, i.e., (x/2)-(x/6)
=x/3
Since, the charity amount is Rs. 1,00,000.

Therefore, x/6 = Rs.1,00,000
Or x= Rs.6,00,000
This, total amount property =Rs.6,00,000

Hence, Mr. Mathews's wife gets
= Rs. (6,00,000÷3)
= Rs. 2,00,000.

Henry · Answer

4/4 - (1/4+1/4) = 4/4 - 2/4 = 2/4 = 1/2 Left. 1/2 - 1/3 = 3/6 - 2/6 = 1/6 Left for wife. (1/6)/(2/6) * 100,000 = 1/2 * 100,000 = 50,000 = Wife's amount.

Sagnik · Answer

No it ha said one third of the remaining . That means after giving 1/2 of his property he divided the remaining amount into a third ie. (1/4 + 1 /4)×1/3. So the answer will be his wife will get rs 200000