1) Let a:b>c:d and c:d be two ratios. Then,

i) a:b > c:d, if ad>bc,

ii) a:b <>

iii) a:b = c:d, if ad=bc

2) A ratio a:b is called a ratio of

i) greater inequality ifa>b,

ii) less inequality if a < b

iii) equality if a=b

3) If the same positive quantity is added to both the terms of a ratio of greater inequality, then the ratio is decreased.

4) If the same positive quantity is added to both the terms of a ratio of less inequality, then the ratio is decreased.

5) If the same positive quantity is subtracted to both the terms of a ratio of greater inequality, then the ratio is increased.

6) If the same positive quantity is added to both the terms of a ratio of greater inequality, then the ratio is increased.