Question

The ratio of the incomes of A and B is 4:5 and the ratio of their expenditures is 3:4. If both save $\text{₹}1,000$, A’s income is:

1.
$\text{₹}6,000$
2.
$\text{₹}3,000$
3.
$\text{₹}4,000$
4.
$\text{₹}5,000$
Answer (Detailed Solution Below)

Option 3 : $\text{₹}4,000$

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Detailed Solution

सही उत्तर $\text{₹}4,000$ है।

Key Points

Let the incomes be 4x and 5x and the expenditures be 3y and 4y. Then 4x − 3y = 1,000 and 5x − 4y = 1,000, which gives x = 1,000. So A’s income is Rs 4,000.

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More General Questions

PrepSnapprepsnap.in • General

Question:

The ratio of the incomes of A and B is 4:5 and the ratio of their expenditures is 3:4. If both save $\text{₹}1,000$, A’s income is:

1.
$\text{₹}6,000$
2.
$\text{₹}3,000$
3.
$\text{₹}4,000$
4.
$\text{₹}5,000$

Correct Answer: $\text{₹}4,000$

Let the incomes be 4x and 5x and the expenditures be 3y and 4y. Then 4x − 3y = 1,000 and 5x − 4y = 1,000, which gives x = 1,000. So A’s income is Rs 4,000.

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