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The ratio of income of A and B is 7:3 and that of their expenditure is 5:2. If both of them save Rs. 300 each. Then find the income of A?
- a)6300
- b)3400
- c)4500
- d)6700
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The ratio of income of A and B is 7:3 and that of their expenditure is...
A B
Income 7 : 3
Income 21 : 9
or
Expenditure 5 : 2
Exp 20 : 8
sav 1 : 1
1 ≡ 300
So 21 = 6300
Income of A = 6300
Income 7 : 3
Income 21 : 9
or
Expenditure 5 : 2
Exp 20 : 8
sav 1 : 1
1 ≡ 300
So 21 = 6300
Income of A = 6300
Most Upvoted Answer
The ratio of income of A and B is 7:3 and that of their expenditure is...
Given data:
- Ratio of income of A and B = 7:3
- Ratio of expenditure of A and B = 5:2
- Both A and B save Rs. 300 each
Let's assume:
- The income of A = 7x
- The income of B = 3x
- The expenditure of A = 5y
- The expenditure of B = 2y
From the given data, we can form the following equations:
- 7x + 3x = total income
- 5y + 2y = total expenditure
- A saves Rs. 300 => (7x - 5y) = 300
- B saves Rs. 300 => (3x - 2y) = 300
Solving the above equations, we get:
- total income = 10x
- total expenditure = 7y
- x = 900, y = 420
Therefore, the income of A = 7x = 7*900 = Rs. 6300 (Option A)
Explanation:
- To solve such questions, assume some values for the unknowns and form equations based on the given data.
- Solve the equations to find the values of the unknowns.
- Substitute the values of the unknowns to find the required answer.
- Ratio of income of A and B = 7:3
- Ratio of expenditure of A and B = 5:2
- Both A and B save Rs. 300 each
Let's assume:
- The income of A = 7x
- The income of B = 3x
- The expenditure of A = 5y
- The expenditure of B = 2y
From the given data, we can form the following equations:
- 7x + 3x = total income
- 5y + 2y = total expenditure
- A saves Rs. 300 => (7x - 5y) = 300
- B saves Rs. 300 => (3x - 2y) = 300
Solving the above equations, we get:
- total income = 10x
- total expenditure = 7y
- x = 900, y = 420
Therefore, the income of A = 7x = 7*900 = Rs. 6300 (Option A)
Explanation:
- To solve such questions, assume some values for the unknowns and form equations based on the given data.
- Solve the equations to find the values of the unknowns.
- Substitute the values of the unknowns to find the required answer.
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The ratio of income of A and B is 7:3 and that of their expenditure is 5:2. If both of them save Rs. 300 each. Then find the income of A?a)6300b)3400c)4500d)6700Correct answer is option 'A'. Can you explain this answer?
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