Home > Practice > Arithmetic Aptitude > Ratio and Proportion > Miscellaneous
1. 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:
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
Solution:
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