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The ratio of income of X and Y is 4:3. The sum of their expenditure is Rs.12,000 and the amount of savings is X is equal to the amount of expenditure of Y.What is the salary of Y?
- a)9000
- b)7000
- c)12000
- d)15000
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The ratio of income of X and Y is 4:3. The sum of their expenditure is...
Answer – A.9000 Explanation : X’s saving = Expenditure of Y = S 4x-S + S = 12000 X = 3000
3x =3*3000 = 9000
3x =3*3000 = 9000
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The ratio of income of X and Y is 4:3. The sum of their expenditure is...
Given information:
- Ratio of income of X and Y is 4:3
- Sum of their expenditure is Rs.12,000
- Amount of savings of X is equal to expenditure of Y
To find:
- Salary of Y
Solution:
1. Let's assume the income of X and Y as 4x and 3x respectively (as given in the ratio).
2. As per the question, the savings of X is equal to the expenditure of Y. Let's assume this amount as y.
3. So, the savings of X can be calculated as (4x - y).
4. Now, the sum of their expenditure is given as Rs.12,000. So, we can write an equation as:
Expenditure of X + Expenditure of Y = Rs.12,000
=> (4x - y) + y = Rs.12,000
=> 4x = Rs.12,000
=> x = Rs.3,000
5. We got the value of x as Rs.3,000. So, the income of Y will be 3x = 3 x 3,000 = Rs.9,000.
Therefore, the salary of Y is Rs.9,000, which is the option (a).
- Ratio of income of X and Y is 4:3
- Sum of their expenditure is Rs.12,000
- Amount of savings of X is equal to expenditure of Y
To find:
- Salary of Y
Solution:
1. Let's assume the income of X and Y as 4x and 3x respectively (as given in the ratio).
2. As per the question, the savings of X is equal to the expenditure of Y. Let's assume this amount as y.
3. So, the savings of X can be calculated as (4x - y).
4. Now, the sum of their expenditure is given as Rs.12,000. So, we can write an equation as:
Expenditure of X + Expenditure of Y = Rs.12,000
=> (4x - y) + y = Rs.12,000
=> 4x = Rs.12,000
=> x = Rs.3,000
5. We got the value of x as Rs.3,000. So, the income of Y will be 3x = 3 x 3,000 = Rs.9,000.
Therefore, the salary of Y is Rs.9,000, which is the option (a).
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The ratio of income of X and Y is 4:3. The sum of their expenditure is...
Answer – A.9000 Explanation : X’s saving = Expenditure of Y = S 4x-S + S = 12000 X = 3000
3x =3*3000 = 9000
3x =3*3000 = 9000
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