Example 16 :
Rs 64000 are divided among three friends in the ratio 3 / 5 : 2 / 1 : 5 / 3 . The share of the second friend is :
Answer :
Here the given ratio is = 3 / 5 : 2 / 1 : 5 / 3 = 9 : 30 : 25 .
So the Share of the second friend = Rs ( 64000 x 30 / 64) = 30000 .
Example 17 :
Which of the following ratio is the greatest ?
7 : 15 , 15 : 23 , 17 : 25 , 21 : 29
Answer :
7 / 15 = 0.466
15 / 23 = 0.652
17 / 25 = 0.68
21 / 29 = 0.724
So, 0.724 is greatest and therefore, 21 : 29 .
Example 18 :
What number has to be added to each term of 3 : 5 to make the ratio 5 : 6 :
Answer :
Let the number to be added x , Then
3 + x / 5 + x = 5 / 6
6 ( 3 + x ) = 5 ( 5 + x )
x = ( 25 – 18 ) = 7
So , the number to be added is 7 .
Example 19 :
A certain amount was divided between A and B in the ratio 4 : 3 . If B’s share was Rs, 4800, the total amount was ?
Answer :
If B ‘s share is Rs, 3, total amount = Rs, 7
If B’s share is Rs, 4800, total amount = Rs, (7 / 3 x 4800) = 1120 .
Example 20:
Tk. 385 were divided among P , Q , R in such a way that P had Tk. 20 more than Q and R had Rs 15 more than P . How much was R’s share ?
Answer :
Let Q gets Tk x. Then We can say P gets Tk (x + 20 ) and R gets Tk ( x + 35) .
x + 20 + x + x + 35 = 385
3x = 330
x = 110 .
R’s share = Tk( 110 + 35 ) = Tk 145 .
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