(1) A man's property of Rs. 2 00 000 was divided between his wife and son such that his wife got thrice as his son. Find his wife's share. (ii) Divide 300 into two parts such that one is two thirds of the other.
Answers
Step-by-step explanation:
total property of man= 2,00,000
ratio of wife and son = 3:1 =
total value = 3+1 = 4
means 4 = 2,00,000
1 means = 50,000 (share of son)
3 means = 1,50,000 (share of wife).
ii) now total value = 300
let x= 2/3
then another is "y" = 1/3
x = 300 × 2/3 = 200
y = 300 × 1/3 = 100
Step-by-step explanation:
♦ Solution ♦ :-
(1) Given that
The property of a man = Rs. 2,00,000
Let the share of his son be Rs. X
The share of his wife
= thrice the property of his son
= Rs. 3X
Sum of their shares = X + 3X = Rs. 4X
Therefore, 4X = 200000
=> X = 200000/4
=> X = 50000
Therefore, X = 50,000
The share of his wife = 3X = 3(50000)
= Rs. 150000
The share of his wife = Rs. 1,50,000
(2) Given that
The amount = Rs. 300
Let the other part be Rs. X
The one of the parts
= 2/3 of the other part
= (2/3) of X
= (2/3)×X
= Rs. 2X/3
Sum of the two parts = Rs. 300
=> X+(2X/3) = 300
=> (3X+2X)/3 = 300
=> 5X/3 = 300
=> 5X = 300×3
=> 5X = 900
=> X = 900/5
=> X = 180
Therefore, X = Rs. 180
If X = Rs. 180 then 2X/3 = 2(180)/3
= 360/3 = Rs. 120
The two parts are Rs. 180 and Rs. 120