Question

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

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Answer 1

Answer:

The amount A gets = 200 Rs., B gets = 240Rs. , C gets = 320 Rs.

Step-by-step explanation

Let B gets x Rs.

Then C gets 4x/3 Rs. [ since B: C =3:4=>B/C=3/4=>C=4B/3]

And A gets 5x/6 Rs. [ since A gets 5/6 of B]

Now the total amount is 760 Rs.

And this amount is distributed among A, B, C

So, 5x/6 +x+4x/3 =760

=> (5x+6x+8x) /6 = 760

=> 19x /6= 760

=> x = (760×6) /19 = 40×6=240

So B gets 240 Rs

A gets = (5/6) ×240= 200 Rs.

And C gets = (4/3) × 240=320Rs