Question

Divide rs 760 among A, B and C such that A gets 5/6 of what b gets and the ratio between B and C is 3:4

Answer 1

Answer:

A = Rs. 200

B = Rs. 240

C = Rs. 320

Step-by-step explanation:

Let the amount of money with B be 3x

and, with C be 4x

Then, amount of money with A = 5/6 of what B gets

$= \frac{5}{6} \times 3x$

$= \frac{5x}{2}$

Now,

$\frac{5x}{2} + 3x + 4x = 760 \\ \frac{5x + 6x + 8x}{2} = 760 \\ \frac{19x}{2} = 760 \\ x = \frac{760 \times 2}{19} \\ x = 80$

A gets =

$\frac{5x}{2} = \frac{5 \times 80}{2} = 200$

B gets =

$3x = 3 \times 80 = 240$

C gets =

$4x = 4 \times 80 = 320$