## Ratio Example 2

**Example 1 :**

On dividing a sum of Rs 832 between Paul and john in the ratio 1 / 3 : 1 / 5 , their shares are :

**Answer :**

So the given ratio is = 1 / 3 : 1 / 5 = 5 : 3

So , the 1st part = Rs ( 832 x 5 / 8 ) = Rs 520 , 2nd part = Rs ( 832 x 3 / 8 ) = Rs 312

**So , their shares are : 520 and 312 .**

**Example 2 :**

The Salary of Three friend A, B, C are divided into ratio 5 : 6 : 8.If the increment has given of 10%, 20%, 25%, Find the new ratio of three friend salary ?

**Answer :**

**Step 1:** We assume ration as 5x, 6x, 8x

now the increment of new salary is A = 110 / 100, B = 120 / 100, C = 125 / 100.

**Step 2:** A,s new salary is 110 X 5x / 100 = 55x / 10.

B,s new salary is 120 X 6x / 100 = 36x / 5.

C,s new salary is 125 X 8x / 100 = 10.

**Step 3:**New ratio is 55x / 10 : 36x / 5 : 10.

**Example 3 :**

Share Rs.4200 among joy, sanjay and bijoy in the ration 2 : 4 : 6.Find the amount received by sanjay.

**Answer :**

Amount received by sanjay.

4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amount

**So, the Amount received by sanjay is 1400.**

**Example 4 :**

Rs 1210 were divided among three person P, Q, R so that P : Q = 5 : 4 and Q : R = 9 : 10. Then R gets the amount.

**Answer :**

P : Q = 5 : 4, Q : R = 9 : 10 = ( 9 x 4 / 9 ) : ( 10 x 4 / 9 ) = 4 : 40 / 9.

So, P : Q : R = 5 : 4 : 40 /9 = 45 : 36 : 40

Sum of ratio terms is = ( 45 + 36 + 40 ) =121.

**R share of amount is Rs (1210 x 40 / 121) = Rs. 400 .**

**Example 5 :**

Find the mean proportional between given two number that is 64 and 49.

**Answer :**

The mean proportion of two numbers is

Root of 64 and 49 is √8 x √ 7 = 8 x 7 = 56.

**So, the mean proportional is 56.**

**Example 6 :**

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 : 50 .

**So the Share of the second friend = Rs ( 64000 x 30 / 64) = 30000 .**

**Example 7 :**

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 8 :**

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 9 :**

Rs. 385 were divided among P , Q , R in such a way that P had Rs 20 more than Q and R had Rs 15 more than P . How much was R’s share ?

**Answer :**

Let Q gets Rs x. Then We can say P gets Rs (x + 20 ) and R gets Rs ( x + 35) .

x + 20 + x + x + 35 = 385

3x = 330

x = 110 .

**R’s share = Rs ( 110 + 35 ) = Rs 145 .**

**Example 10 :**

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 .**