The incomes of A and B are in the ratio 3 : 2 and their expenditure are in ratio 5 : 3. If each saves Rs. 1000, then, A's income can be:
A. Rs. 3000
B. Rs. 4000
C. Rs. 6000
D. Rs. 9000
E. Rs. 4500
Answer: Option C
Solution(By Examveda Team)
Let income of A and B be 3x and 2x respectively. Also, their expenditure is 5y and 3y. Now, according to question, 3x - 5y = 1000 ------- (i) × 3 2x - 3y = 1000 ---------- (ii) × 5 9x - 15y - 10x + 15y = 3000 - 5000 Or, -x = -2000 Or, x = 2000 Then, income of A = 3x = 3 × 2000 = Rs. 6000This Question Belongs to Arithmetic Ability >> Ratio
Let, the expenditure of A and B is 5x,
3x.
So,the income of A is 5x+1000
ATQ,
5x+1000/3x+1000=3/2
or, 10x+ 2000=9x+3000
or, 10x-9x=3000-2000
or, x=1000
So, the income of A is 5x+1000=5*1000+1000=Rs.6000 (Ans)
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The ratio of incomes of 2 persons A and B is 9:7 and the ratio of their expenditures is 4:3. If eacv of them saves ruppes. 2200 per month, find their monthly incomes