The monthly incomes of Ravi and Shiv are in the ratio 1 : 2 and their monthly expenditures are in the ratio 1 : 3. If each saves ₹4,000 per month, then find the monthly income of Shiv.

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  1. ₹16,000
  2. ₹18,000
  3. ₹14,000
  4. ₹20,000

Answer (Detailed Solution Below)

Option 1 : ₹16,000
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Detailed Solution

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Given:

Ratio of monthly incomes of Ravi and Shiv = 1 : 2

Ratio of monthly expenditures = 1 : 3

Savings per month each = Rs 4,000

Concept Used:

Income – Savings = Expenditure

Calculation:

⇒ Let the monthly incomes of Ravi and Shiv be x and 2x.

⇒ According to the question,

⇒ \(\frac{x-4000}{2x-4000}=\frac{1}{3}\)

⇒ 3(x – 4000) = 1(2x – 4000)

⇒ 3x – 12000 = 2x – 4000

⇒ 3x – 2x = 12000 – 4000

⇒ x = 8000

⇒ Income of Shiv = 2x = 2 × 8000 = Rs 16,000

Therefore, the monthly income of Shiv is Rs 16,000.

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