The monthly incomes of A, B and C are in the ratio 2 : 9 : 3 and their expenses are in the ratio 3 : 9 : 5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3 : 18 : 4.
Let the incomes of A, B, and C be 2x, 9x, and 3x, respectively.
Let the expenses of A, B, and C be 3y, 9y, and 5y, respectively.
A's saving is half of his total income.
So, (1/2)(2x) = 2x - 3y
⇒ x = 2x - 3y
⇒ y = x/3
Expense of A = 3y = 3(x/3) = x
Expense of B = 9y = 9(x/3) = 3x
Expense of C = 5y = 5(x/3) = (5/3)x
Ratio of savings of A, B, and C = (2x - x) : (9x - 3x) : [3x - (5/3)x]
= x : 6x : (4/3)x
= 3 : 18 : 4
Therefore, the savings of A, B, and C are in the ratio 3 : 18 : 4.