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
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Feb 20, 2025