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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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by Prajnay

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by Prajnay

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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*

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

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