Question

Divide 7000 among A,B,C such that A get 50 % of what B gets and B gets 50% of what C gets​

Answer 1

Answer:

let c will get x

then

B will get =x*50/100

x*1/2

x/2

a will get =x/2*50/100

x/2*1/2

x/4

now we know that

x+x/2+x/4=7000

take the lcm

4x+2x+x/4=7000

7x/4=7000

x=7000*4/7

x=1000*4

x=4000

share of c =x=4000

share of B=x/2=4000/2=2000

share of A=x/4=4000/4=1000

Answer 2

Question:-

Divide 7000 among A,B,C such that A get 50 % of what B gets and B gets 50% of what C gets.

Required Answer:-

Given:-

• A gets 50% of B
• B gets 50% of C

To Find:-

• The amount A, B and C gets

Solution:-

We were given that:-

$\\ \sf{\bold{A + B+ C = 7000}}$

• As A gets 50% of B, we can write:-

$\\ \sf{50\% \times B + B + C = 7000}$

• Again, B gets 50% of C

$\\ \sf{ 50\%(50\% \times C) + 50\% \times C+ C = 7000}$

$\\ \sf{ \implies{C(50\% \times 50\% + 50\% + 1) = 7000}}$

$\\ \sf{ \implies{C( \dfrac{50}{100} \times \dfrac{50}{100} + \dfrac{50}{100} + 1 ) = 7000}}$

$\\ \sf{ \implies{C( \dfrac{1}{2} \times \dfrac{1}{2} + \dfrac{1}{2} + 1 ) = 7000}}$

$\\ \sf{ \implies{C( \dfrac{1}{4} + \dfrac{1}{2} + 1) = 7000}}$

$\\ \sf{ \implies{C\times \dfrac{7}{4} = 7000}}$

$\\ \sf{ \implies{C = 7000 \times \dfrac{4}{7} }}$

$\\ \sf{ \therefore{C = \red{4000}}}$

Therefore, C gets Rs.4000

Now,

• B gets 50% of C

$\\ \sf{B \: gets = 50\% \times 4000}$

$\\ \sf{ \implies{B \: gets = \dfrac{50}{100} \times 4000}}$

$\\ \sf{ \therefore {B \: gets = \red{2000}}}$

Hence, B gets Rs.2000

Again,

• A gets 50% of C

$\\ \sf{A \: gets = 50\% \times 2000}$

$\\ \sf{ \implies{A \: gets = \dfrac{50}{100} \times 2000}}$

$\\ \sf{ \therefore {A \: gets = \red{1000}}}$

Hence, A gets Rs. 1000

$\\ \boxed{ \rm{A\: B \: and \: C \: gets \: \bold{Rs.4000 \: ,Rs.2000 \: and \: Rs.1000} \: respectively. }}$