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:
Answer & explanation
Correct answer: option 1
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