A sum of money was divided between Tarun, Raghav and Kapil in the ratio 7 ∶ 4 ∶ 9. But, Kapil gave 1/3 of his share each to Tarun and Raghav. If Tarun received Rs. 1800 more than Raghav, then what is the total sum of money?

A sum of money was divided between Tarun, Raghav and Kapil in the ratio 7 ∶ 4 ∶ 9. But, Kapil gave 1/3 of his share each to Tarun and Raghav. If Tarun received Rs. 1800 more than Raghav, then what is the total sum of money? Correct Answer Rs. 12000

Let Tarun, Raghav and Kapil initially received Rs. ‘7x’, Rs. ‘4x’ and Rs. ‘9x’ respectively

But, Kapil gave 1/3 of his share each to Tarun and Raghav,

Hence,

Tarun’s final share = 7x + 9x/3 = 7x + 3x = 10x

Raghav’s final share = 4x + 9x/3 = 4x + 3x = 7x

Kapil’s final share = 9x/3 = 3x

Now, Tarun received Rs. 1800 more than Raghav,

⇒ 10x – 7x = 1800

⇒ 3x = 1800

⇒ x = 1800/3 = Rs. 600

∴ Total sum of money = 7x + 4x + 9x = 20x = 20(600) = Rs. 12000

Related Questions

On which date in August was Kapil born ? Statements : I. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth. II. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.
Question : On which date in August was Kapil born ?

Statements :
I. Kapil's mother remembers that Kapil was born before nineteenth but after fifteenth.
II. Kapil's brother remembers that Kapil was born before seventeenth but after twelfth.