Question

. Divide rupees 1,638 between three people A, B and C such that A gets four-fifth of what B gets and the
ratio of the share of B to C is 5: 12.​

Answer 1

To Find - Share of A, B, and C

Solution - Let A gets x rupees, B gets y rupees and C ggets z rupees, then-

x + y + z = 1,638

A gets four-fifth of B implies,

$x = \frac{4}{5} y$

Ratio of B to C = 5: 12

y : z = 5 : 12

$z = \frac{12}{5} y$

Now the equation will become,

$\frac{4}{5} y + y + \frac{12}{5} y = 1,638\\\frac{21}{5} y = 1,638\\y = 1,638 (\frac{5}{21} )\\y = 78 (5)\\y = 390$

Using the value of y in equation of x and z we get,

$x = \frac{4}{5} (390)\\x = 312\\\\z = \frac{12}{5} (390)\\z = 936$

Hence, the share of A(x) = 312 rupees

The share of B(y) = 390 rupees

The share of C(z) = 936 rupees