Mr.Khan won a cash prize of a certain in a jackpot of a carnival. He gave half of his money and additional amount of rupees 10,000. He Also gave 1/3 of the money received and an additional amount of rupees 3000 to his son. If his wife get double the amount the son got. Find the amount that Mr. Khan got.
Answers
Step-by-step explanation:
Given:-
Mr.Khan won a cash prize of a certain in a jackpot of a carnival. He gave half of his money and additional amount of rupees 10,000. He Also gave 1/3 of the money received and an additional amount of rupees 3000 to his son. If his wife get double the amount the son got.
To find:-
Find the amount that Mr. Khan got.
Solution:-
Let the cash prize won by Mr. Khan in the jack pot of the carnival be Rs. X
Money gave his wife = Half of the prize and additional amount of Rs. 10,000
=>(1/2) of X + 10,000
=>(X/2 ) + 10000
=>(X+20000)/2
Money gave his wife = Rs. (X+20000)/2
Money gave his son = 1/3 of the money and additional amount of Rs. 3000
=>(1/3) of X + 3000
=>(X/3) + 3000
=>(X+9000)/3
Money gave his son = Rs. (X+9000)/3
and
Amount got his wife = Double the amount the son got
=>(X+20000)/2 =2× (X+9000)/3
=>(X+20000)/2 = (2X+18000)/3
On applying cross multiplication then
=>3(X+20000)=2(2X+18000)
=>3X+60000 = 4X+36000
=>4X-3X = 60000 - 36000
=>X = 24,000
The prize money = Rs. 24000
Answer:-
The amount got by Mr.Khan in the jack pot of the carnival = Rs. 24,000