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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:
Answer & Solution
Correct Answer:
Option
C
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. 6000
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Login2x-3y=1000......b
2a+3b,
6x-6x-10y+9y=2000-3000
Or, -y=-1000
Or, y=1000
b no,
3x-5*1000=1000
Or,3x=6000
Or,x=2000
A's income=2000*3=6000
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)