The monthly incomes of Abhinav and Rekha are in the ratio 6 : 5 and their monthly expenditures are in the ratio 9 : 8. If the income of Abhinav is twice the expenditure of Rekha, then the ratio of savings of Abhinav and Rekha is: |
21 : 16 23 : 18 5 : 3 3 : 2 |
21 : 16 |
Income of Abhinav : Rekha = 6 : 5 Expenditure of Abhinav and Rekha = 9 : 8 Here, The income of Abhinav is twice the expenditure of Rekha, therefore, ⇒ 6a = 2 x 8b ⇒ 6a = 16b ⇒ a : b = 8 : 3 Let a = 8 and b = 3 ⇒ Savings of Abhinav = 6a - 9b = (6 x 8) - (9 x 3) = 48 - 27 = 21 ⇒ Savings of Rekha = 5a - 8b = (5 x 8) - (8 x 3) = 40 - 24 = 16 Hence, the ratio of Abhinav and Rekha's savings = 21 : 16 |