Question

divide Rs. 1380 among Ahmed , john and babita so that share of Ahmed recieves is 5 times as much as babita's share and is three times as much as john's share.

Answer 1

let
$x$
John's share
and let
$y$
babita's share
:.
$ahmeds \: share \: = 3x = 5y$
$3x = 5y$
$y = \frac{3x}{5}$
$x + y + 3x = 1380$
$x + \frac{3x}{5} + 3x = 1380$
$\frac{23x}{5} = 1380$
$x = \frac{1380 \times 5}{23}$
$x = 300$
$johns \: share \: = x = 300$
$since \: 3x = 5y$
$y = \frac{3x}{5}$
$y = \frac{3 \times 300}{5}$
$y = 180$
$babitas \: share \: = y = 180$
$ahmeds \: share \: = 3x = 3 \times 300 = 900$

Answer 2

Answer:

Let, Ahmed's share be Rs. x

      Babita's share = Rs. x/5

      John's share = Rs. x/3

Therefore, total amount = Rs. (x + x/5 + x/3)

But, total amount to be divided = Rs. 1380

             ∴ x + x/5 + x/3 = 1380

             ⇒ (15x +3x +5x)/15 = 1380

             ⇒ 23/15x = 1380

             ⇒ 23x  = 1380 × 15

             ⇒ x = (1380 × 15)/23

             ⇒ x = 900

∴ Ahmed's share = Rs. 900

  John's share = Rs. 900/3

                         = Rs. 300

  Babita's share = Rs. 900/5

                           = Rs. 180