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
$A$
and
$B$
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
$x:y$
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