Question

A total profit of rs. 36,000 is to be distributed among rajesh, salesh and rajeev such that rajesh : salesh :: 5 : 4 and salesh : rajeev :: 8 : 9. what is the share of rajeev

Answer 1

rajesh:salesh= 5:4
salesh:rajeev=8:9
equate terms
rajesh:salesh=5:4 ×8
salesh:rajeev=8:9×4
rajesh:salesh=40:32
salesh:rajeev=32:36
rajesh:salesh:rajeev=40:32:36
=10:8:9
rajeev= 36000×9/10+8+9
rajeev=36000×9/27
=36000×1/3
=12000 is answer

Answer 2

Ratio of Rajesh : Salesh =  5 : 4

Ratio of Salesh : Rajeev =  8 : 9

Since both ratio have Salesh, we will make Salesh's share in both the ratio the same.

Rajesh : Salesh =  5 : 4

multiply by 8:

Rajesh : Salesh =  40 : 32

Salesh : Rajeev =  8 : 9

Multiply by 4 :

Salesh : Rajeev =  32 : 36

Now we have the two ratios:

Rajesh : Salesh =  40 : 32

Salesh : Rajeev =  32 : 36

Since both Salesh's share is the same, we can combine the two ratio:

Rajesh : Salesh : Rajeev =  40 : 32 : 36

Define x :

Let x be the constant ratio

Rajesh : Salesh : Rajeev =  40x : 32x : 36x

Solve x:

The total sum is Rs 36000

40x + 32x + 36x = 36000

108x = 36000

x = 1000/3

Find Rajeev's share:

Rajeev = 36x = 36 (1000/3) = Rs 12000

Answer: Rajeev's share is Rs 12000