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please answer this question⚡⚡⚡
in 2 mi
please️
Answers
Explanation:
Given :-
Mr. Gupta left 1/4 th of his money for this son. 1/3 of the money for his daughter and remaining for his wife. The share of his wife Rs. 63000.
To find :-
How much money did Mr. Gupta have ?
Solution :-
Let the money Mr.Gupta has be Rs. X
Money given to his son
= 1/4 th of his money
=> (1/4)×X
=> (1×X)/4
=> Rs. X/4
Money given to his daughter
= 1/3 of the money
=> (1/3)×X
=> (1×X)/3
=> Rs. X/3
Remaining money = Total Money - Money given to his daughter and son
=> X - [( X/4)+(X/3)]
LCM of 4 and 3 = 12
=> X - [(3X+4X)/12]
=> X - (7X/12)
=> (12X-7X)/12
=> 5X/12
Money given to his wife = Rs. 5X/12
According to the given problem
Money given to his wife = Rs. 63000
=> 5X/12 = 63000
=> 5X = 63000×12
=> X = (63000×12)/5
=> X = 12600×12
=> X = Rs. 151200
Answer:-
The total money of Mr. Gupta = Rs. 151200
Check :-
The total money of Mr. Gupta = Rs. 151200
Share of his son = 151200/4 = Rs. 37800
Share of his daughter = 151200/3 = Rs. 50400
Total share of his daughter and son
=> 37800+50400
=> Rs. 88200
Remaining money = 151200-88200
=> Rs. 63000
His wife share = Rs. 63000
Verified the given relations in the given problem