The incomes of X and Y are in the ratio of 8 : 7 and their expenditures are in the ratio 19 : 16. If each saves Rs 1250, find their incomes.

Given, incomes of X and Y are in the ratio of 8 : 7 and their expenditures are in the ratio 19 : 16.


Let the incomes of X and Y be 8a and 7a


Let the expenditures of X and Y be 19b and 16b


Each saves Rs. 1250


8a – 19b = 1250 -------- (1) and 7a – 16b = 1250 ------- (2)


Equating both equation


8a – 19b = 7a – 16b


a = 3b


Substituting value of a in eq1


24b – 19b = 1250


b = 250


Thus, a = 750


X’s income = 8a = Rs. 6000


Y’s income = 7a = Rs. 5250


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