Question

Divide Rs 49,600 among three partners A,B and C so that : A's share : B's share : C's share = 1 by 2: 1 by 3 : 1 by 5.

Answer 1

here is the answer...

Answer 2

A's share = Rs 24000

B's share =  Rs 16000

C's share =  Rs 9600

Share of A, B and C are =  (1/2) : (1/3) : (1/5)

LCM of 2,3,5 = 30

Multiplying with 30, to each of the shares, we get :

Share of A, B and C are = 15 : 10 : 6

Let the common ratio be x.

So, share of A = 15x

Share of B = 10x

Share of C = 6x

∴ Total share = Share of A + Share of B + Share of C

= (15x + 10x + 6x) = 31x

Given, money to be divided = Rs 49600

So, 31x = Rs 49600

⇒ x = 49600/31 = Rs 1600

Thus, A's share = 15x = Rs (15×1600) = Rs 24000

B's share = 10x = Rs (10×1600) = Rs 16000

C's share = 6x = Rs (6×1600) = Rs 9600