The monthly incomes of A and B are in the ratio 3 : 5 and the ratio of their savings is 2 : 3. If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 8 : 15
Let the monthly income of A & B = 3x and 5x
Let the monthly savings of A & B = 2y and 3y
The income of B is 3 times the savings of A
According to the question
5x = 3 x 2y
5x = 6y
= x/y = 6/5
Putting the values of x and y
Monthly income of A & B = 18 units and 30 units
Monthly savings of A & B = 10 and 15 units
Therefore expenditure ratio = (Income of A - Saving of A)/(Income of B - Saving of B)
= (18-10)/(30-15)
= 8/15