Dividing a quantity in a given ratio

10 balls are placed in two baskets.

In one basket there are 4 balls and in the other there are 6 balls.

The ratio of the balls in the baskets is 4:6

Simplifying the ratio, we get 2:3

So, we can say that the 10 balls are divided in the ratio 2:3

Let us look at another example.

100 balls are to be placed in baskets and in the ratio of 2:3

To find the number of balls in each basket, we have to divide 100 balls in 2:3 ratio.

Dividing the balls in 2:3 ratio is to divide them into 5 equal parts.

And make them in two groups having 2 and 3 parts respectively.

The total number of parts is 5 parts.

Which means 2 out of 5 parts of the balls are to be placed in basket A.

Mathematically, 2 out of 5 parts of 100 can be calculated as above.

The number of balls to be placed in basket A is 40

Let's find the number of balls to be placed in basket B.

3 out of 5 parts of 100 balls are to be placed in basket B.

The number of balls to be placed in basket B is 60

Let us solve one more example.

Divide 1400 rupees between Roja and Kriti in 3:4 ratio.

The total number of parts to be made is 7.

Therefore, Roja's share is rupees 600.

And Kriti's share is 800 rupees.

In general, division of a quantity in ration is as above.

The first part of the number is calculated as shown.

The second part of the number is calculated as shown.

Revision

Dividing a number in the ratio of $x:y$$, is as shown.

The end