If the ratio of Income of 2 companies is 7 : 5, while it was found that the ratio of expenditure is 5:3, If both the companies saves Rs.10,000 in each month. Find sum of monthly income of both the companies?

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  1. Rs. 50000
  2. Rs. 55000
  3. Rs. 60000
  4. Rs. 65000
  5. Rs. 70000

Answer (Detailed Solution Below)

Option 3 : Rs. 60000
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Detailed Solution

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The incomes of A and B are in the ratio 7: 5.

The expenditure of A and B are in the ratio 5: 3.

The saving of each is Rs. 10000

Income = Expenditure + Saving

Let the income of A and B be 7x and 5x

The expenditure of A=7x-10000

The expenditure of B=5x-10000

According to the question;

⇒  (7x-10000) /(5x-10000)=(5/3)

⇒ 21x-30000=25x-50000

⇒ 4x=20000 ⇒ x = 5000

The income of A=7×5000= Rs. 35000

The income of B=5×5000= Rs. 25000

sum of income = 35000+25000 = Rs. 60000

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