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Ratio, Proportion and Partnership: Compound Ratio

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Practice Questions

Concept Explanation

A compound ratio combines two or more ratios by multiplying corresponding terms.

If a : b and c : d, compound ratio = ac : bd.

For three ratios a:b, c:d, e:f → compound = ace : bdf.

Used when linking two relationships (e.g. men:wages and days:pay).

Q1 Easy

Compound ratio of 2 : 3 and 4 : 5 is:
Q2 Easy

Compound ratio of 3 : 4 and 5 : 6 is:
Q3 Medium

If a:b = 2:3 and b:c = 4:5, then a:c is:
Q4 Hard

Compound of 1:2, 3:4, 2:3 is:
Q5 Medium

Men : wages = 4:5 and hours : pay = 3:2. Compound ratio of men to pay share:
Q6 Easy

If 2:3 and 5:7 compound to 10:21, the ratios are:
Q7 Medium

a:b = 5:6, b:c = 9:10. a:c equals:

Q8 Easy

Compound ratio of 4:5 and 5:4 is:
Q9 Hard

If x:y = 3:4 and y:z = 8:9, x:z is:
Q10 Medium

Compound of 2:5 and 10:3 simplifies to:
Q11 Hard

Three ratios 2:3, 4:5, 1:2 compound to:
Q12 Medium

If a:b = 7:8 and c:d = 8:7, compound ac:bd is:
Q13 Easy

Compound ratio used when:
Q14 Medium

If p:q = 2:3, q:r = 6:7, p:r is: