Exams › SSC CGL (Prelims) › General

If \(A:B=4:5\), \(B:C=6:7\), and \(C:D=10:11\), find the compound ratio \(A:B:C:D\).

1. 48: 60: 70: 77
2. 4: 5: 7: 11
3. 24: 30: 35: 44
4. 8: 10: 14: 11

Correct answer: 48: 60: 70: 77

Solution

Take \(B\) common in the first two ratios: \(A:B=4:5\) and \(B:C=6:7\). Using LCM of 5 and 6 as 30, we get \(A:B=24:30\) and \(B:C=30:35\), so \(A:B:C=24:30:35\). Now match \(C:D=10:11\) to make \(C=70\), giving \(D=77\), hence \(A:B:C:D=48:60:70:77\).

Related SSC CGL (Prelims) General questions

• The ratio of two numbers is 5:7 and their sum is 96. Find the numbers.
• A mixture contains milk and water in the ratio 3:5. If the total quantity is 40 litres, how much milk should be added to make the ratio 1:1?
• A bookstore ordered 10 boxes of hardcover books and some boxes of paperback books. Hardcovers cost twice as much per box as paperbacks. Due to an order error, the quantities were swapped, increasing the bill by 20%. What is the ratio of hardcover to paperback boxes originally?
• A pipe is divided in the ratio $\frac{3}{7}:\frac{2}{5}:\frac{3}{4}$. If the total length is 8 m, find the largest piece.
• If P is 30% more than Q, and R is 25% more than P, then what is the ratio Q:R?
• A mixture contains milk and water in the ratio 3:2. If 20 litres of milk is added, what is the new ratio?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →