Antony and Benjamin together earn 250 dollars per day. Benjamin and Carter together earn 300 dollars per day. When working together, Antony, Benjamin, and Carter earn 500 dollars per day. How much does Benjamin earn per day?

The correct option is D 50 dollars
Let daily wages of Antony, Benjamin, and Carter be A dollars, B dollars, and C dollars, respectively.

From the given statements, we can write:

A + B = 250

B + C = 300

On adding the two equations, we get,

A + 2B + C = 550 ------------ (1)

It is given that all three earn 500 dollars per day.

Hence,

A + B + C = 500 -------------- (2)

Equation (1) can be written as follows:

B + (A + B + C) = 550

On substituting equation (2) in the given equation, we get,

B + 500 = 550

⇒ B = 550 – 500 = 50

Therefore, Benjamin earns 50 dollars per day.