Divide 7500 rupees among three people in the ratio 8:6:11
Please give step by step answer
Answers
Step-by-step explanation:
Given :
Rs. 7500 among 3 people
Ratio = 8:6:11.
To find :
the amount each will get.
Solution :
⇒ Let's find the amount each will get.
Let the amount each member be 8x, 6x, and 11x.
\sf \longrightarrow 8x + 6x + 11x = 7500⟶8x+6x+11x=7500
\sf \longrightarrow 14x + 11x = 7500⟶14x+11x=7500
\sf \longrightarrow 25x = 7500⟶25x=7500
\sf \longrightarrow x = \dfrac{7500}{25}⟶x=
25
7500
\sf \longrightarrow \cancel{ x = \dfrac{7500}{25} }⟶
x=
25
7500
\sf \longrightarrow x = 300⟶x=300
\sf \therefore x = 300∴x=300
\sf \longrightarrow 8x = 8 \times 300⟶8x=8×300
\sf \longrightarrow 8x = 2400⟶8x=2400
\sf \longrightarrow 6x = 6 \times 300⟶6x=6×300
\sf \longrightarrow 6x = 1800⟶6x=1800
\sf \longrightarrow 11x = 11 \times 300⟶11x=11×300
\sf \longrightarrow 11x = 3300⟶11x=3300
Therefore, the amounts are Rs.2400, Rs. 1800, and Rs. 3300.