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Rajveer distributed as amount among his 3 sons. Vivek being the eldest brother receives 40% of the amount and the remaining amount is distributed between Vijay and Ramesh in the ratio 5 ∶ 4. If the difference between the amount received by Vivek and Ramesh is Rs.2000. What is the amount which Rajveer distributed?

Rajveer distributed as amount among his 3 sons. Vivek being the eldest brother receives 40% of the amount and the remaining amount is distributed between Vijay and Ramesh in the ratio 5 ∶ 4. If the difference between the amount received by Vivek and Ramesh is Rs.2000. What is the amount which Rajveer distributed? Correct Answer Rs.15,000

Let the amount which Rajveer distributed be x

∴ Amount received by Vivek = (40/100) × 100x = 40x

Remaining amount = 100x – 40x = 60x

Remaining amount is distributed between Vijay and Ramesh in the ratio 5 ∶ 4

⇒ Amount received by Vijay = (5/9) × 60x = 100x/3

Amount received by Ramesh = (4/9) × 60x = 80x/3

The difference between the amount received by Vivek and Ramesh is Rs.2000

∴ 40x – 80x/3 = 2000

⇒ 40x = 6000

⇒ x = 150

∴ Amount distributed by Rajveer = 150 × 100 = Rs.15000

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