Question

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?
1. Rs.20,000
2. Rs.16,000
3. Rs.15,000
4. Rs.25,000
5. None of these

Answer 1

Correct Answer - Option 3 : 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