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 & 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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3 Comments

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Arif Weax 5 years ago

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)

Bijayananda Giri 7 years ago

In the year 2015, the price of Article A is 17% more than the price of Article B. In the next year, the price of Article A is 30% more than the price of Article B. If from the year 2015 to 2016, the price of A has increased by 40%, then by what % , the price of B has increased ?

Anas Chougle 9 years ago

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

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The incomes of A and B are in the ratio 3...

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:

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