₹21,000 is to be distributed between Raj and Karan such that Raj gets ₹9,000 less than Karan. What is the ratio of the amount received by Raj to that received by Karan?

₹21,000 is to be distributed between Raj and Karan such that Raj gets ₹9,000 less than Karan.

Raj + Karan = 21000    Eq.(i)

Karan - 9000 = Raj    Eq.(ii)

Put Eq.(ii) in Eq.(i).

Karan - 9000 + Karan = 21000

$$2\times$$ Karan = 21000+9000

$$2\times$$ Karan = 30000

Karan = 15000    Eq.(iii)

Put Eq.(iii) in Eq.(ii).

15000 - 9000 = Raj

Raj = 6000    Eq.(iv)

Ratio of the amount received by Raj to that received by Karan = Eq.(iv) : Eq.(iii)

= 6000 : 15000

= 2 : 5