Question

the ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3 if each of them saves rs.200 per month find their monthly expenditures ​

Answer 1

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Answer 2

Answer:

Answer is rd 1400

Step-by-step explanation:

Saving of first-person =9x−4y

Saving of second person =7x−3y

∴9x−4y=200⇒9x−4y−200=0 (i)

and, 7x−3y−200⇒7x−3y−200=0 .(ii)

Solving equation (i) and (ii) by cross-multiplication, we have

(−4×−200)−(−3×−200)

x

=

(−200×−9)−(−200×−7)

−y

=

(9×−3)−(7×−4)

1

800−600

x

=

−1800+1400

−y

=

−27+28

1

⇒x=200 and y=400

Thus, monthly income of first person =Rs. 9x= Rs. (9×200)= Rs. 1800

and, monthly income of second person =Rs. 7x=Rs. (7×200)=Rs. 1400.