The Incomes of A and B are in the ratio 5 : 7. The expenditure of A is equal to the savings of B. The expenditure of A and B is Rs. 15750, then their total savings (in Rs.) is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 11250.
Given:
The Incomes of A and B are in the ratio 5 : 7.
The expenditure of A is equal to the savings of B.
The expenditure of A and B is Rs. 15750
Formula used:
Income = Expenditure + Savings ---- (1)
Calculations:
Let the income of A and B be 5x and 7x and the expenditure of A be y
Expenditure of B = (15750 - y)
Savings of B = y
Saving of A = 5x - y
Total savings of A and B = 5x - y + y = 5x
According to the question;
⇒ 7x - (15750 - y) = y
⇒ 7x - 15750 + y = y
⇒ 7x = 15750
⇒ x = 2250
Total savings of A and B = 5x = 5 × 2250 = 11250