Question

3. The monthly incomes of Amit and Atul are in
the ratio 6:5. The ratio of their expenditure is
5: 4. If each of them saves 2500 per month,
find their monthly incomes. please give the correct solution with full explaining ​

Answer 1

A n s w e r

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G i v e n

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• The monthly incomes of Amit and Atul are in the ratio 6:5

• The ratio of their expenditure is 5:4

• Each of them saves 2500 per month

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F i n d

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• Their monthly incomes

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S o l u t i o n

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Given that , the monthly incomes of Amit and Atul are in the ratio 6:5

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• Let the income of Amit be "6i"

• Let the income of Atul be "5i"

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Also given that , the ratio of their expenditure is 5:4

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• Let the expenditure of Amit be "5e"

• Let the expenditure of Atul be "4e"

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We know that ,

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Income - Expenditure = Savings

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For Amit

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• Income = 6i

• Expenditure = 5e

• Savings = 2500

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So,

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Income - Expenditure = Savings

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➜ 6i - 5e = 2500 ⚊⚊⚊⚊ ⓵

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For Atul

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• Income = 5i

• Expenditure = 4e

• Savings = 2500

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So,

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Income - Expenditure = Savings

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➜ 5i - 4e = 2500 ⚊⚊⚊⚊ ⓶

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⟮ Multiplying equation ⓵ by 4 }

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➜ 6i - 5e = 2500

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➜ 4(6i - 5e) = 2500 × 4

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➜ 24i - 20e = 2500 × 4 ⚊⚊⚊⚊ ⓷

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⟮ Multiplying equation ⓶ by 5 ⟯

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➜ 5i - 4e = 2500

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➜ 5(5i - 4e) = 2500 × 5

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➜ 25i - 20e = 2500 × 5 ⚊⚊⚊⚊ ⓸

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⟮ Equation ⓸ - ⓷ ⟯

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➜ 25i - 20e - (24i - 20e) = 2500 × 5 - (2500 × 4)

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➜ 25i - 20e - 24i + 20e = 2500 × (5 - 4)

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➜ i = 2500 ⚊⚊⚊⚊ ⓹

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Monthly income of Amit = 6i

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➜ 6(2500)

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➨ 15000

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Monthly income of Atul = 5i

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➜ 5(2500)

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➨ 12500

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• Hence the monthly income of Atul is Rs 12500

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∴ The monthly incomes of Amit and Atul are Rs 15000 & 12500 respectively

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