The incomes of A, B and C are in the ratio 7:9:12 and their expenditures are in the ratio 8:9:15. If A's saving is one-fourth of his income, then the ratio of savings of A, B and C is

Explanation

Let incomes be 7x, 9x, 12x and expenditures be 8y, 9y, 15y. A's saving is 7x - 8y = \frac{1}{4}(7x), which simplifies to 21x = 32y. The ratio of their savings becomes (7x-8y):(9x-9y):(12x-15y). Substituting x=32k, y=21k yields (224-168):(288-189):(384-315) = 56:99:69.

Related questions on Arithmetic

• What is the remainder when (17^{25} + 19^{25}) is divided by 18?
• A bottle contains spirit and water in the ratio 1:4 and another identical bottle contains spirit and water in the ratio 4:1. In what rat...
• Let P = 5^5 \times 15^{15} \times 25^{25} \times 35^{35} and Q = 10^{10} \times 20^{20} \times 30^{30} \times 40^{40}. What is the numbe...
• Two students X and Y appeared in a test. The score of X is 20 more than that of Y. If the score of X is 75% of the sum of the scores of X an...
• Question: The product of a natural number N and the number M written by the same digits of N in the reverse order is 252. What is the number...