High School

Let's divide 9000 among three friends in such a way that the second friend gets twice the amount the first friend gets, and the third friend gets half of the total sum of money two friends have got. Calculate how much amount of money each friend will get. Option a) First friend: Rs 1000, Second friend: Rs 2000, Third friend: Rs 3000 Option b) First friend: Rs 1500, Second friend: Rs 3000, Third friend: Rs 4500 Option c) First friend: Rs 2000, Second friend: Rs 4000, Third friend: Rs 3000 Option d) First friend: Rs 1200, Second friend: Rs 2400, Third friend: Rs 3600

Answer :

Final answer:

Considering the given conditions, the amount of money each of the friends will get is Rs 2000, Rs 4000, and Rs 3000 respectively.

Explanation:

This question involves a problem of ratio and proportion in mathematics. To solve it, let's denote the first friend's portion as x. Remember, our total sum is Rs 9000. According to the statement, the second friend gets twice the amount the first friend gets, so his portion is 2x. The third friend gets half of the total sum of money the two friends have got, so he receives (x + 2x) / 2 = 3x / 2.

Adding all these portions together should be equal to Rs 9000. So we have this equation: x + 2x + 3x / 2 = 9000. Solving this, we find that x=Rs 2000. So, the first friend gets Rs 2000, the second friend gets 2x=Rs 4000 and the third friend gets 3x / 2=Rs 3000.

Learn more about ratio and proportion here:

https://brainly.com/question/31776433

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