Question

Divide Rs. 1500 between A, B, C such that b's share is five-sixths of A's share and C's share is four-fifths of b's share.

Answer 1

Answer:

A's share will be 600 and B is 500 and C is 400

Step-by-step explanation:

given that,

b=5/6a   ; c=4/5b => b=5/4c

therefore,

5/4c=5/6a

=>c=2/3a

we know that ,a's share +b's share+c's share=1500

=>5/6a + 2/3a + a = 1500

=>(4a+5a+6a)/6 = 1500

=>15a = 9000

=>a = 600

now with the help of given data find t b andc's share

Answer 2

Total amount =1500

(5÷6)A=B

A=(6÷5)B

B=B

C=(4÷5)B

A+B+C=1500

(6÷5)B+B+(4÷5)B=1500

(6B+5B+4B)÷5=1500

15B=1500×5

B=100×5

B=500

A=(6÷5)B

=(6÷5)500

=6×100

=600

C=(4÷5)B

=(4÷5)500

=4×100

=400