Question

four persons, alok, bhupesh, chander and dinesh have a total of rs. 100 among themselves. alok and bhupesh between them have as much money as chander and dinesh between them, but alok has more money than bhupesh. chander has only half the money that dinesh has. alok has in fact rs. 5 more than dinesh has. who has the maximum amount of money?

Answer 1

Using a system of equations, we can find that Dinesh has the maximum amount of money with 45 rupees.

Step-by-step explanation:

The problem can be solved using a system of equations. Let's denote the amount of money Alok has by 'a', the amount Bhupesh has by 'b', the amount Chander has by 'c', and the amount Dinesh has by 'd'. We can summarize the given information as follows:

1. a + b + c + d = 100 (Total money)
2. a + b = c + d (Alok and Bhupesh have the same amount as Chander and Dinesh)
3. a = d + 5 (Alok has 5 more rupees than Dinesh)
4. c = 0.5d (Chander has half the amount of Dinesh)

We can solve this system of equations to find the values of the variables. From equation 3, we can substitute 'd + 5' for 'a' in equation 2:

(d + 5) + b = c + d

b = c - 5

Substituting 'c - 5' for 'b' in equation 2:

a + (c - 5) = c + d

a - d = 5

Substituting 'd' for 'c' in equation 4:

c = 0.5c

Solving this system of equations, we find that a = 35, b = 10, c = 20, and d = 45.

Dinesh has the maximum amount of money with 45 rupees.

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