Key Concepts
How to Use
A:B for two-part ratios, A:B:C for three-part, or Divide by Ratio to split an amount.
Type the ratio parts. Decimals are supported — the tool finds the integer simplification.
See simplified ratio, percentage splits, and individual shares for a given total.
Frequently Asked Questions
Find the HCF of all parts and divide each by it. Example: 24:36 → HCF = 12 → simplified = 2:3.
Total parts = 2+3 = 5. First share = 5000 × 2/5 = ₹2000. Second share = 5000 × 3/5 = ₹3000.
Make B common by taking LCM of the B values (4 and 5 → LCM = 20): A:B = 15:20 (×5), B:C = 20:24 (×4). So A:B:C = 15:20:24. This method works for any chain ratio and is frequently asked in SSC and IBPS exams.
A ratio compares two quantities: 3:4 means for every 3 of A there are 4 of B. A proportion states two ratios are equal: 3:4 = 6:8. In a proportion a:b = c:d, the product of extremes equals the product of means: a×d = b×c (cross-multiplication). This rule is key for solving "find the fourth proportional" and "mean proportional" questions in exams.
Let incomes = 3k and 4k; expenditures = 5m and 7m. Savings: 3k − 5m = 1000 and 4k − 7m = 1000. Solving: from first, 3k − 5m = 4k − 7m → k = 2m. Substitute: 6m − 5m = 1000 → m = 1000, k = 2000. Incomes: A = ₹6000, B = ₹8000. This two-ratio income-expenditure type is very common in SSC CGL.