Question

Divide Rs 1545 between three people A,B and C such that A gets three-fifths of what B gets and ratup of the share of B to C is 6:11​

Answer 1

Correct Question :-

Divide Rs 1545 between three people A,B and C such that A gets three-fifths of what B gets and ratio of the share of B to C is 6:11. what amount will each person get ?

Solution :-

• Let A's amount = ${ \sf{ \frac{3}{5} \times 6x = \frac{18x}{5} }}$

• Let B's amount = 6x

• Let C's = 11x

${ \sf{ According \: to \: question :- }}$

$\implies{ \sf{3 \times \frac{6x}{5} + 6x + 11x = 1545}}$

$\implies{ \sf{ \frac{18x + 30x + 55x}{5} = 1545}}$

$\implies{ \sf{ \frac{48x + 55x }{5} = 1545}}$

$\implies{ \sf{ \frac{103x}{5 } = 1545}}$

$\implies{ \sf{ x = \frac{5 \times 1545}{103} }}$

$\implies{ \sf{x = \frac{7725}{103}}}$

$\implies{ \sf{x = 75}}$

Now, put the value of x in let amount :

${ \implies{ \sf{A(x) = \frac{18}{ 5} \times 75 \: =18 \times 15 = 27}}}$

$\implies{ \sf{B(x) = 6 \times 75 = 450}}$

$\implies{ \sf{C(x) = 11 \times 75 = 825}}$

Hence,

• A = ₹270, B = ₹450, C = ₹825.

$\underline {\sf{CHECK :-}}$

$\implies{ \sf{270 + 450 + 825 = 1545}}$

$\implies{ \sf{1545 = 1545 }}$

Thus, Both sides are equal / same.

Hence, solution is checked !