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The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.

Correct Answer: Rs. 150 and Rs.200

Explanation:

Let the incomes of A and B be 3P and 4P.


If each saves Rs. 100 per month, then their expenditures = Income - savings = (3P - 100) and (4P - 100).


 


The ratio of their expenditures is given as 1 : 2.


Therefor, (3P - 100) : (4P - 100) = 1 : 2


Solving, We get P = 50. Substitute this value of P in 3P and 4P.


Thus, their incomes are : Rs.150 and Rs.200


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