Question

A sum of Rs 3600 is distributed among A, B and C such that A get 20% of what B and
C got together and B get 20% less of what A
and C got together, C`s share is​

Answer 1

Given :  A sum of Rs 3600 is distributed among A, B and C such that A get 20% of what B and C got together  and

B get 20% less of what A and C got together,

To Find :  C`s share  

Solution:

Let say C share  =  C

and B share  =  B

A get 20% of what B and C got together  

=> A  share  = (20/100) ( B + C)  = 0.2(B + C)

A + B + C = 3600

=> 0.2(B + C)  + B + C = 3600

=> B + C = 3000

B get 20% less of what A and C got together

B  =  (A + C)  - (20/100)(A + C)

=> B  = 0.8(A + C)

=> B = 0.8  ( 0.2B + 0.2C  + C)

=> B = 0.16B  + 0.16C  + C

=> 0..84B  =  1.16C

=> 21B = 29C

=> 21(3000 - C)  = 29C

=>  50C  = 21 * 3000

=> C = 21 * 60

=> C = 1260

C share = Rs 1260

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