Question

for a charity show, 10 friends make an equal contribution and a total of RS 785.50 was collected find the amount paid by each friend​

Answer 1

Ratio and Proportion

Ratio:

- The ratio of two quantities a and b of same units is the fraction x/y, where b ≠ 0

- The fraction x/y can be represented as x:y

Different types of ratios are:

1) Duplicate ratio: It is the ratio of squares of two numbers.

Duplicate ratio of the fraction x is given as: x = x2 or x : y = x2 : y2

y y y2

2) Sub-duplicate ratio: It is the ratio between square roots of two numbers.

Duplicate ratio of the fraction x is given as: x = x or x : y = x : y

y y y

3) Triplicate ratio: It is the ratio of cubes of two numbers.

Triplicate ratio of the fraction x is given as x = x3

y y y3

4) Sub- Triplicate ratio: It is the ratio between cube roots of two numbers

Sub-Triplicate ratio of the fraction x is given as x = x(1/3)

y y y(1/3)

5) Compound ratio: It is the ratio of product of first terms in every ratio to that of product of second term in every ratio.

For example:

Compound ratio of (a : x), (b : y), (c : z) is (abc : xyz)

6) Inverse ratio: The ratio formed by interchanging their old places in the ratio to new

The inverse ratio of 5 : 8 is 8 : 5.