The income of three playback singers Aswath, Sunita, and Ramdin are in the ratio of 12: 9: 7 and their expenditures are in the ratio of 15: 9: 8. If Aswath saves 25% of his income, what is the ratio of the savings of Aswath, Sunita, and Ramdin?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 15: 18: 11.
Income ratio = 12x: 9x: 7x
Expenditure ratio = 15y: 9y: 8y
Savings ratio = (12x - 15y): (9x - 9y): (7x - 8y)
According to the question;
Aswath saves 25% of his income.
So, (12x - 15y) = 25% of 12x
⇒ 12x - 15y = 3x
⇒ 9x = 15y
⇒ x / y = 15 / 9
Thus, x = 15, y = 9
Saving of Aswath = (12x - 15y) = (12 × 15 - 15 × 9) = (180 - 135) = 45
Saving of Sunita = (9x - 9y) = (9 × 15 - 9 × 9) = (135 - 81) = 54
Saving of Ramdin = (7x - 8y) = (7 × 15 - 8 × 9) = (105 - 72) = 33
Ratio of savings of Aswath: Sunita: Ramdin = 45: 54: 33 = 15: 18: 11