A, B and C have certain amounts of money with them. A has four-thirds the amount that C has, who in turn has ten-ninths the amount that B has. The amount with A, as a fraction of the total amount with A, B and C is ______.
Question
A, B and C have certain amounts of money with them. A has four-thirds the amount that C has, who in turn has ten-ninths the amount that B has. The amount with A, as a fraction of the total amount with A, B and C is ______.
Solution
Let's solve this step by step:
Step 1: Let's assume the amount of money B has is x.
Step 2: According to the problem, C has ten-ninths the amount that B has. So, C has (10/9)x.
Step 3: The problem also states that A has four-thirds the amount that C has. So, A has (4/3)*(10/9)x = (40/27)x.
Step 4: The total amount of money with A, B, and C is x + (10/9)x + (40/27)x = (243/243)x + (270/243)x + (360/243)x = (873/243)x.
Step 5: The amount with A, as a fraction of the total amount with A, B, and C is (40/27)x / (873/243)x = (40/27) / (873/243) = 360/873.
So, the amount with A, as a fraction of the total amount with A, B, and C is 360/873.
Similar Questions
Three persons A, B and C together have 51/-. B has 4/- less than A. C has got 5/- less than A. Find the money that C has.a.35/-b.20/-c.15/-d.50/-
The incomes of A, B and C are in the ratio 5:8:13 and their spendings are in the ratio 3 :5 : 11. If A saves ¼ th of his income, then the savings of A, B and C are in the ratio of*1) 9 : 6 : 82) 4 : 7 : 93) 1 : 2 : 14) 5 : 9 : 6
The ratio of the earnings of A, B and C is 2 : 3 : 5. If A increases his earnings by a certain amount, B by double that amount and C by triple that amount, which of the following could be the ratio of the earnings of A and C after the increase?
The salaries of A, B and C are in the ratio 4:10:25. If the increments of 30%, 15% and 25% are provided to A, B and C respectively in their salaries, what will be the ratio of their new salaries?
The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. Salary of C is how much more than A?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.