Multiple choice

The ratio of income of A and B is 2 : 3. The sum of their expenditures is Rs.8000 and the amount of savings of A is equal to amount of expenditure of B. What is the sum of their savings? A और B की आय का अनुपात 2 : 3 है। उनके खर्चों का योग 8000 रू. है और A की बचत की धनराशि B के खर्चे के बराबर है। उनकी बचतों का योग क्या है ?

  1. Rs./रु.4000

  2. Rs./रु.12000

  3. Rs./रु.16000

  4. Rs./रु.22000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 2x and 3x. Expenditures are e₁ and e₂ with e₁ + e₂ = 8000. Savings: 2x - e₁ = e₂ (A's savings = B's expenditure). Total savings = (2x - e₁) + (3x - e₂) = 5x - 8000. But e₁ = 2x - e₂, so e₁ + e₂ = 2x = 8000, x = 4000. Total savings = 5(4000) - 8000 = 12000.

Keep practicing — related questions