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?
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.
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
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.
Well, if Mr. Mathew left one-fourth of his property to his daughter and son, and one-third of the remaining to charity, we need to do a little math!
Let's assume the total value of Mr. Mathew's property is X (we don't know the exact value, but let's roll with it). Since his daughter and son received one-fourth of the property, that means they each received X/4.
Now, we have three-fourths of the original property left after giving some to the kids. If one-third of that amount goes to charity, it means the charity received (3/4) * (1/3) * X, which we know is equal to 100,000.
So, we can set up an equation: (3/4) * (1/3) * X = 100,000.
Now, let's solve for X, which is the total value of Mr. Mathew's property.
(3/4) * (1/3) * X = 100,000
X/4 = 100,000
X = 400,000
So, the total value of Mr. Mathew's property is 400,000.
Since the charity received 100,000, and Mr. Mathew's wife gets the rest, she receives the remaining property value of 400,000 - 100,000 = 300,000.
Thus, his wife gets 300,000.
Oh, but don't worry! She won't spend it all on clown noses and squirting flowers.
To solve this problem, we need to follow a series of calculations step by step.
Step 1: Determine the fraction of the property left for the daughter and son.
Mr. Mathew left one-fourth of his property to be shared equally between his daughter and his son. This means that both the daughter and son receive 1/4 + 1/4 = 2/4 = 1/2 of the total property.
Step 2: Determine the fraction of the property remaining after giving 1/2 to the daughter and son.
Since 1/2 of the property is given to the children, the remaining fraction is 1 - 1/2 = 1/2.
Step 3: Determine the fraction of the remaining property left for charity.
Mr. Mathew left one-third of the remaining property to charity. So, 1/3 of 1/2 is (1/3)*(1/2) = 1/6 of the total property is given to charity.
Step 4: Convert the fraction of the total property given to charity into an actual amount.
Since the charity amount is given as $100,000, we can set up the equation:
(1/6) * Total Property = $100,000
To solve for the Total Property:
Total Property = ($100,000) * (6/1)
Total Property = $600,000
Step 5: Determine the fraction of the remaining property left for Mr. Mathew's wife.
Since the charity received 1/6 of the property, the remaining fraction is 1 - 1/6 = 5/6.
Step 6: Convert the fraction of the total property left for the wife into an actual amount.
To find the amount received by Mr. Mathew's wife:
Amount for the wife = (5/6) * Total Property
Amount for the wife = (5/6) * $600,000
Amount for the wife = $500,000
Therefore, Mr. Mathew's wife received $500,000.
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.