Question

A sum of money is divided among A, B, C and D in
the ratio of 5:8:11: 15. If the share of D is less
than the total share of the other three by 12,720,
then what is the total amount of money distributed
among the four?​

Answer 1

Step-by-step explanation:

Here....

let the coefficient be x.

by given condition...

5x+11x+8x=15x+ 12720

24x-15x=12720

9x=12720

x=1414.4

total amount=1414.4× 39=55161

Answer 2

Step-by-step explanation:

ratio of their share

= 5:8:11:15

let constant ratio be "x"

so total amount = 5x + 8x + 11x + 15x

= 39x

share of D = 15x

total share of other 3

= 5x + 8x + 11x = 24x

according to question,

24x - 15x = 12720

9x = 12720 => x = 4240/3

total amount of money distributed

= 39x = 39 × 4240/3 = Rs 55120 Answer