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The income of Neha and Hitesh are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 2000, then find their income.
- a)4000, 6000
- b)4000, 5000
- c)5000, 4000
- d)5000, 6000
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The income of Neha and Hitesh are in the ratio of 4:5 and their expend...
Answer – b) 4000, 5000 Explanation : 4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000
X = 1000, so income = 4000 and 5000
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The income of Neha and Hitesh are in the ratio of 4:5 and their expend...
Given, the income ratio of Neha and Hitesh is 4:5 and their expenditure ratio is 2:3. Let the income of Neha and Hitesh be 4x and 5x respectively.
Savings of Neha = Income of Neha - Expenditure of Neha = 4x/2 - 2y/2 = 2x - y
Savings of Hitesh = Income of Hitesh - Expenditure of Hitesh = 5x/3 - 3y/3 = 5x/3 - y
Given, their savings are equal and is 2000 each. Therefore, we have 2x - y = 2000 and 5x/3 - y = 2000.
On solving these equations, we get x = 3000 and y = 2000.
Therefore, the income of Neha and Hitesh are 4x = 4(3000) = 12000 and 5x = 5(3000) = 15000 respectively.
Hence, the correct answer is option B) 4000, 5000.
Savings of Neha = Income of Neha - Expenditure of Neha = 4x/2 - 2y/2 = 2x - y
Savings of Hitesh = Income of Hitesh - Expenditure of Hitesh = 5x/3 - 3y/3 = 5x/3 - y
Given, their savings are equal and is 2000 each. Therefore, we have 2x - y = 2000 and 5x/3 - y = 2000.
On solving these equations, we get x = 3000 and y = 2000.
Therefore, the income of Neha and Hitesh are 4x = 4(3000) = 12000 and 5x = 5(3000) = 15000 respectively.
Hence, the correct answer is option B) 4000, 5000.
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The income of Neha and Hitesh are in the ratio of 4:5 and their expend...
Answer – b) 4000, 5000 Explanation : 4x – 2y = 2000 and 5x – 3y = 2000.
X = 1000, so income = 4000 and 5000
X = 1000, so income = 4000 and 5000
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