Question
Download Solution PDFA and B earn in the ratio 2 :1. They spend in the ratio 5:3 and save in the ratio 4 :1. If the total monthly savings of both A and B are Rs. 5,000,What is the monthly income of B ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A and B earn in the ratio 2:1
A and B spend in the ratio 5:3
A and B save in the ratio 4:1
Total monthly savings of A and B = ₹5,000
Formula used:
Income - Saving = Expenditure
Calculation:
Let the monthly incomes of A and B be 2x and x respectively.
Let the savings of A and B be 4k and k respectively.
Therefore, 4k + k = ₹5,000
⇒ 5k = ₹5,000
⇒ k = ₹1,000
Savings of A = 4k = 4 × ₹1,000 = ₹4,000
Savings of B = k = ₹1,000
Income - Saving = Expenditure
|
|
A : B |
|
Income |
2 : 1 |
|
Expenditure |
5 : 3 |
|
Saving |
4000 : 1000 |
2x - 4000 / x - 1000 = 5/3
⇒ 6x - 12000 = 5x - 5000
⇒ 6x - 5x = ( - 5000) + 12000
⇒ x = ₹ 7,000
∴ The correct answer is option (3).
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