Question

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. Rs. 6000
• B. Rs. 9000
• C. Rs. 12000
• D. Rs. 15000

Answer 1

Answer:

C. Rs. 12000

Let Tarun, Raghav and Kapil initially received Rs. ‘7x’, Rs. ‘4x’ and Rs. ‘9x’ respectively 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 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 = 20x(600) = Rs. 12000