Find the Compound Ratio of a:b and c:d
Last updated Aug 29, 2026
Correct Answer:
Option A —
ac:bd
In mathematics, finding the Compound Ratio of two or more ratios means you are combining them into a single ratio. This is done by multiplying the corresponding parts of the ratios together.How to Calculate It
When you have two ratios, a to b and c to d:
Multiply the first terms: Take the "antecedent" (the first part) of both ratios—which are a and c—and multiply them together. This gives you ac.
Multiply the second terms: Take the "consequent" (the second part) of both ratios—which are b and d—and multiply them together. This gives you bd.
When you put these results together, the new compound ratio is ac to bd.
A Simple Example
If you have the ratios 2 to 3 and 4 to 5:
First terms: 2 times 4 equals 8.
Second terms: 3 times 5 equals 15.
The compound ratio is 8 to 15.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
More Maths questions
From across UPSC, JKPSC, and JKSSB papers — same subject, different years.
In a medical transaction, 17 times the cost price is equal to 8 times the sum of the cost price and the selling price. What is the gain o...
In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. ...
A can complete a work in 15 days and B can complete a work in 25 days. If they start work together and B leaves 7 days before completion,...
A television manufacturer earns 20% profit by selling each T.V. set for Rs. 14400. If the production cost is increased by 15%, what shoul...
Consider the following pairs:a. Square matrix has two identical rows 1. Determinant = 1
b. 3 x 3 Identity matrix
2. Determinant = 4
c. 3...