Operations on Ratios

Rarely Tested

If a, b, c, d and x are positive integers such that $$\frac{a}{b}=\frac{c}{d}$$
1. If $$a < b$$, $$ \frac{a+x}{b+x} > \frac{a}{b}$$
2. If $$a > b$$, $$ \frac{a+x}{b+x} < \frac{a}{b}$$
3. If $$a > b$$, then $$\frac{a-x}{b-x} > \frac{a}{b}$$
4. If $$a < b$$, then $$\frac{a-x}{b-x} < \frac{a}{b}$$

Question 1

If the ratio of ages of a husband and wife today is 9:7, what can be the ratio of their ages 5 years earlier?

Question 2

If the ratio of ages of a husband and wife today is 9:7, what can be the ratio of their ages 5 years from today?

Question 3

If a/b = 1/3, b/c = 2, c/d = 1/2 , d/e = 3 and e/f = 1/4, then what is the value of abc/def ?

Name	Date Taken	Score	Status
Formula Test 1	NA	NA
Formula Test 2	NA	NA

Not attempted

Not attempted

Previous Year Stats

Operations on Ratios

question from CAT exam over the past 5 years

Other Averages, Ratio and Proportion Formulas

Averages

Percentage change

Successive percentage change

Proportionality

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