Arithmetichard · Past Paper
A sum of money is divided among A, B, C such that A gets 1/2 of what B and C together get, and B gets 1/4 of what A and C together get. The ratio A:B:C is:
A5:3:7
B2:1:3
C1:2:3
D3:5:7
✓ Correct Answer: A — 5:3:7
A = (B+C)/2 => 2A=B+C. B = (A+C)/4 => 4B=A+C. Sub C=4B-A into 1st: 2A=B+4B-A => 3A=5B => A/B=5/3. If A=5, B=3, then C=4(3)-5=7. Ratio 5:3:7.
Share this question
More from Arithmetic
- Find the fourth proportional to 2, 3, 4.
- MP of a bag is Rs. 500. After 10% discount and 13% VAT, find final amount.
- At what rate percent per annum will a sum of money double itself in 10 years at SI?
- A student scored 45 marks out of 60. What is the percentage of marks obtained?
- What is the ratio of SI and CI on a certain sum for 2 years at 10% per annum?