Question

Three people split an amount of money. 1 268 dollars and 1 gets 200 dollars. The third gets 40 percent. What is the amount?

Answer 1

The total amount is $ 780

Solution:

Let the total amount be "x"

Given that,

First person gets $ 268

Second person gets $ 200

Third person gets 40 %

This means, third person gets 40 % of total amount

Third person = 40 % of x

$Third\ person = 40 \% \times x\\\\Third\ person = \frac{40}{100} \times x\\\\Third\ person = 0.4x$

We know that, total amount is equal to sum of amount got by all three persons

Total amount = first person + second person + third perosn

$x = 268 + 200+ 0.4x\\\\x - 0.4x = 268 + 200\\\\0.6x = 468\\\\x = \frac{468}{0.6}\\\\x = 780$

Thus the total amount is $ 780