Kanchan receives a certain amount of money on her retirement from her employer.She gives half of this money to her daughter with an additional sum of 10,000.She also gives one third of the money received & an additional sum of 3000 to her son.Find the amount that Kanchan received?
2007-03-28 20:11:45 · 15 answers · asked by Titanic lover 2 in Science & Mathematics ➔ Mathematics
The daughter gets twice as much as the son.
2007-03-28 22:18:38 · update #1
Kanchan receives an amount x.
She gives (x/2 + 10000) to her daughter.
She gives (x/3 + 3000) to her son.
The daughter gets twicw as much as the son.
Hence (x/2 + 10000) = 2 * (x/3 + 3000)
or (x/2 + 10000) = 2x/3 + 6000
or (x + 20000)/2 = (2x + 18000)/3
or 3x + 60000 = 4x + 36000
Hence, x = 60000 - 36000
or x = 24000.
Check :
Daughter gets 12000+10000 = 22000
Son gets 8000 + 3000 = 11000
Daughter gets twice as much as the son.
2007-03-29 01:36:16 · answer #1 · answered by Bharat 4 · 0⤊ 0⤋
Let amount received by Kanchan be Rs. x
Therefore daughter got x /2 + 10000
& son got x /3 + 3000
At the end of the question given daughter gets twice as much as the son
So x /2 + 10000 = 2 [ x /3 + 3000 ]
x /2 + 10000 = 2 x /3 + 6000
2 x /3 + 6000 = x /2 + 10000
2 x /3 – x /2 = 10000 – 6000
x / 6 = 4000
x = 24000
Kanchan received Rs. 24000
2007-03-29 12:54:56 · answer #2 · answered by Pranil 7 · 0⤊ 0⤋
Rs 78000
1/2+1/3=5/6
1-5/6=1/6=10000+3000=13000
13000x6=78000
2007-03-29 05:33:29 · answer #3 · answered by Anonymous · 0⤊ 0⤋
As you can see from the answers how much is left with Kanchan is missing and is important to get the correct answer.
2007-03-29 03:34:15 · answer #4 · answered by Swamy 7 · 0⤊ 0⤋
It seem that the problem is incomplete. In which case, we assumed that Kanchan HAVE NOTHING LEFT when she gave the money she received to his daughter and son and the ADDITIONAL MONEY also came from the money she received.
Let x = money Kanchan received
1/2x + 10,000 = money Kanchan gave to her daughter
1/3x + 3,000 = money Kanchan gave to her son
Thus
x = (1/2x + 10,000) + (1/3x + 3,000)
x = 1/2x + 1/3x + 13,000
x - 1/2x - 1/3x = 13,000
6/6 x - 3/6x - 2/6x = 13,000
1/6x = 13,000
x = 13,000 * 6
x = 78,000 money received by Kanchan
1/2x + 10,000 = 1/2(78,000) + 10,000 =
39,000 + 10,000 = 49,000 money received by daughter
1/3x + 3,000 = 1/3(78,000) + 3,000 =
26,000 + 3,000 = 29,000 money received by son
x = (1/2x + 10,000) + (1/3x + 3,000)
78,000 = 49,000 + 29,000
78,000 = 78,000
2007-03-29 03:57:42 · answer #5 · answered by detektibgapo 5 · 0⤊ 0⤋
Kanchan received Rs. 78000/-
2007-03-29 03:31:00 · answer #6 · answered by rishi 1 · 0⤊ 0⤋
there is something missing like the amount that is left with Kanchan
2007-03-29 03:18:23 · answer #7 · answered by Anonymous · 0⤊ 0⤋
She also gives one third of the money received & an additional sum of 3000 to her son....
one third of the money was taken from her original retirement money or left over money
2007-03-29 03:21:49 · answer #8 · answered by Anonymous · 0⤊ 0⤋
I don't do well with math problems but I think Kanchan better be rich or she just gave away her livelihood.
2007-03-29 03:15:58 · answer #9 · answered by Over The Rainbow 5 · 0⤊ 1⤋
How much is left wih Kanchan?
2007-03-29 03:23:23 · answer #10 · answered by skg 2 · 0⤊ 1⤋