The ratio of income of Ram and Shyam is 7 : 3. The sum of their expenditure is Rs. 14,000 and the amount of savings of Ram is equal to the amount of expenditure of Shyam. What is the salary (in Rs.) of  Shyam?

  1. 6000
  2. 7000
  3. 10000
  4. 14000

Answer (Detailed Solution Below)

Option 1 : 6000
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Detailed Solution

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Sum of expenditures of both = Rs. 14000

Formula Used:

Income = Expenditure + Savings

Calculation:

Let Ram’s income be 7x and Shyam’s income be 3x

Suppose, Ram’s saving = Expenditure of Shyam = S

⇒ Ram’s expenditure = 7x – S

⇒ Shyam’s expenditure = S

According to the question,

(7x – S) + S = 14000

⇒ x = 2000

∴ Salary of Shyam = 3x = 3 × 2000 = Rs. 6000
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