The monthly incomes of two friends Vipul and Vijay, are in the ratio 5 : 7 respectively and each of them saves ₹81000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Vipul(in ₹).

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  1. 135000
  2. 189000
  3. 136000
  4. 134000

Answer (Detailed Solution Below)

Option 1 : 135000
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Detailed Solution

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Given:

Ratio of monthly incomes of Vipul and Vijay = 5 : 7

Monthly saving of each = ₹81000

Ratio of their monthly expenditure = 2 : 4

Formula Used:

Income = Expenditure + Saving

Calculation:

Let the monthly income of Vipul be 5x and the monthly income of Vijay be 7x.

Expenditure of Vipul = Income of Vipul - Saving of Vipul = 5x - 81000

Expenditure of Vijay = Income of Vijay - Saving of Vijay = 7x - 81000

Ratio of their monthly expenditure = (5x - 81000) : (7x - 81000) = 2 : 4

⇒ (5x - 81000) / (7x - 81000) = 2 / 4

(5x - 81000) / (7x - 81000) = 1 / 2

2 × (5x - 81000) = 1 × (7x - 81000)

10x - 162000 = 7x - 81000

10x - 7x = 162000 - 81000

3x = 81000

x = 81000 / 3

x = 27000

Monthly income of Vipul = 5x = 5 × 27000 = ₹135000

The monthly income of Vipul is ₹135000.

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