# Ratio, Proportion, Variation

Ratio:

A ratio shows the relative sizes of two or more values. Ratios can be shown in different ways. Using the ":" to separate example values, or as a single number by dividing one value by the total.

Proportion:

A part, share, or number considered in comparative relation to a whole. Proportion says that two ratios (or fractions) are equal. Eg: 1/3 = 2/6

Variation:

A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes, the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant).

1

A and B together have Rs. 1210. If 4/15 of A's amount is equal to 2/5 of B's amount, how much amount does B have?

2

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:

3

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

4

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

5

In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quantity of water to be further added is: