The monthly income of three cricketers Ankit, Sanjay and Roshan, from different sources, are in the ratio of 12 : 9 : 7, and their expenditures are in the ratio of 15 : 9 : 8. If Ankit saves 25% of his income for future investments, what is the ratio of the savings of Ankit, Sanjay and Roshan?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 15: 18: 11.
Income ratio: 12x : 9x : 7x
Expenditure ratio: 15y : 9y : 8y
We know that;
Savings = Income - Expenditures
Savings ratio → 12x - 15y : 9x - 9y : 7x - 8y
Given:
Ankit saves 25% of his income for future investments
12x - 15y = 25% of 12x
⇒ 12x - 15y = 3x
⇒ 9x = 15y
⇒ x / y = 15 / 9
So, x = 15; y = 9
Substitute this value in the savings ratio equation to get the savings ratio of all three.
⇒ 12x -15y : 9x - 9y : 7x - 8y
⇒ (180 - 135) : (135 - 81) : (105 - 72)
⇒ 45 : 54 : 33
⇒ 15 : 18 : 11
Hence, option 1 is the correct answer.