The sides of a rectangle are in the ratio $4 : 5$. By what fraction should the shorter side be increased to make it a square?

The sides of a rectangle are in the ratio $4 : 5.$ By what fraction should the longer side be decreased to make it a square?

Two quantities are in the ratio $3 : 5$. If the smaller alone is made four times the original, what would the ratio be?

Two quantities are in the ratio $3 : 5.$ If the smaller is doubled and the larger is halved, what would the ratio be?

The capacities of the two bottles are in the ratio $3 : 4$. The smaller bottle was filled twice and the larger bottle was filled and emptied into a vessel. Twice the smaller and half the larger was emptied into another. What is the ratio of the quantities of water in the two vessels?

The capacities of the two bottles are in the ratio $4 : 7$. The smaller bottle was filled twice and the larger bottle was filled and emptied into a vessel. Twice the smaller and half the larger was emptied into another. What is the ratio of the quantities of water in the two vessels?

The breadth and length of the two rectangles are in the ratio $2 : 3$. In another rectangle, whose breadth is $1 cm$ less and length is $3 cm$ less than those of the first, this is $3 : 4.$ Calculate the breadth and length of both rectangles.