Question

divide 16 toffees between jai and Varun so that they get 25% and 75% respectively

Answer 1

Answer:

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.

Proportion:

1) Proportion is the equality of two ratios.

When (a : b = x : y) is represented as (a : b :: x : y), then a, b, x, y are said to be in proportion.

In (a : b :: x : y), a and y are called as extremes and b and x are called as mean terms.

Product of means = Product of extremes

2) Mean proportion: Mean proportion between x and y is given as xy

3) Third proportion: If p : q = q : s, then s is called as third proportional to p and q.

4) Fourth proportion: If u : v = x : y, then y is the fourth proportional of u, v and x.

Quick Tips and Tricks

1) Comparison of ratios:

If (x : y) > ( a : b) → x > a

y b

2) Proportion

4) Variation:

- If a = kb for some constant k, then we can say that a is directly proportional to b.

- If ba =k for some constant k, then we can say that a is inversely proportional to b.

5) If ratio between first and second quantity m : n = a : x, second and third quantity n : p = b : y, fourth and fifth quantity p : q = c : z, then m : n : p : q can be easily solved by using the trick shown below:

m : n : p : q = abc : xbc: xyc : xyz

6) If a number a is divided in the ratio x : y,

1) First part: ax

(x + y)

2) Second part: ay

(x + y)

Answer 2

Answer:

Total Toffees - 16

jai get toffees- 25/100 * 16

varun get toffees- 75/100 * 16