The income of P and Q are in the ratio 3:2 and expenses are in the ratio 5:3. If both save Rs. 200, what is the income of P?
Answers
Step-by-step explanation:
Given :-
The income of P and Q are in the ratio 3:2 and expenses are in the ratio 5:3. Both save Rs. 200.
To find :-
What is the income of P?
Solution :-
Given that
The ratio of incomes of P and Q = 3:2
Let they be Rs. 3X and Rs. 2X
The income of P = Rs. 3X
The income of Q = Rs. 2X
The ratio of the expenses of P and Q = 5:3
Let they be Rs. 5Y and Rs. 3Y
The expense of P = Rs. 5Y
The expense of Q = Rs. 3Y
We know that
Saving = Income - Expense
Saving of P = 3X-5Y
According to the given problem
Saving of P = Rs. 200
3X-5Y = 200 -----------(1)
on multiplying with 2 then
=> 6X-10Y = 400 -------(2)
and
The Saving of Q = 2X-3Y
According to the given problem
Saving of Q = Rs. 200
2X-3Y = 200 ---------------(3)
On multiplying with 3 then
=> 6X-9Y = 600 ------------(4)
On Subtracting (4) from (2)
6X-10Y = 400
6X-9Y = 600
(-) (+) (-)
__________
0 -Y = -200
__________
=> -Y = -200
=> Y = 200
On substituting the value of Y in (1) then
3X-5(200) = 200
=> 3X-1000 = 200
=> 3X = 200+1000
=> 3X = 1200
=> X = 1200/3
=> X = 400
Now,
Income of P = Rs. 3X
=> 3(400)
=> Rs. 1200
Answer:-
The income of P for the given problem is
Rs. 1200
Answer:
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Step-by-step explanation:
Let income of a be 3x and b be 2x and according to the question their investment be 5y and 3y respectively.