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

2
by Prajnay

Answers

2014-08-20T17:21:07+05:30

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Let us X, Y, and Z are amounts in 760 that A, B, and C get.

X = 5Y / 6  --- equation  1

Given, Y : Z = 3 : 4  or,  Y/Z = 3/4      or   Y = 3Z/4

substitute in equation 1
X = 5/6 * 3/4 * Z  = 5Z/8

Add X, Y, and Z,         5Z/8 + 3Z/4 + Z  = 760

Z [ 5/8 + 3/4 + 1 ] = 760
Z ( 5+3*2+8)/8  = 760

Z * 19/8  = 760

Z = 760 * 8/19 = 320

Y = 3Z/4 = 240

X = 5Y/6 = 200

2014-08-20T18:36:57+05:30
Let amount of B = x
then amount of A = 5x/6
and ratio of B/C=3/4
so, x/C = 3/4
therefore amount of C = 4x/3
A/Q,
A+B+C = 760

therefore amounts of A = 5*240/6 = 200 rupees
B = 240 rupees
C = 320 rupees