SOLUTION: the income of A and B are in the ratio of 7:5. their expenses are In the ratio of 9:8.an increase of A�s expenditure by rupees 100 and decrease of B�s expenditure by rupees 200 m

Question 945440: the income of A and B are in the ratio of 7:5. their expenses are In the ratio of 9:8.an increase of A�s expenditure by rupees 100 and decrease of B�s expenditure by rupees 200 makes their savings rupees 400 each. Find their incomes
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the income of A and B are in the ratio of 7:5. their expenses are In the ratio of 9:8.an increase of A�s expenditure by rupees 100 and decrease of B�s expenditure by rupees 200 makes their savings rupees 400 each. Find their incomes
solution
let income is 7x and 5x respectively for A and B
expenditure for A and B is 9Y and 8Y
as per given conditions
new a expenditure is 9Y+100 and B is 8Y-200
saving for both is now 400
A saving=7x-(9Y+100)=400
B saving =5X-(8Y-200)=400
7x-9y-100=400 or 7x-9y=500 (1)
5x-8y+200=400 or 5x-8y=200 (2) by solving these equations by elimination methods Y=100 and x= 200
income of A=1400 and B=1000
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