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
- If (x+y):(x-y) = 4:1, find (x^2+y^2):(x^2-y^2).
- What is the SP of a Rs. 1,000 item after a 20% discount and 10% VAT?
- A cycle is bought for Rs. 5,000 and sold for Rs. 4,500. Calculate the loss percentage.
- If SP is Rs. 84 and gain is 20%, what is the CP?
- A man buys some oranges at 5 for a rupee and an equal number at 4 for a rupee. He sells the whole lot at 9 for 2 rupees. What is his gain or loss %?