Question

What percent is 150ml of 3.5 liters?
A. $3\dfrac{2}{7}$%
B. $4\dfrac{2}{7}$%
C. $5\dfrac{2}{7}$%
D. $6\dfrac{2}{7}$%

Answer 1

Hint- To solve this question, we need to know the basic theory related to the percentage. And as mentioned in this question we have to find What percent is 150ml of 3.5 liters. So, We have to solve this question by taking a variable ‘x’ as shown below.

Complete step-by-step solution -
let x% of 3.5 liters or 3500 ml will be 150 ml
so, the equation will be
(x%) of 3500 = 150
$3500 \times \left( {\dfrac{x}{{100}}} \right) = 150$$ = 150$
$ \Rightarrow x = \dfrac{{150 \times 100}}{{3500}}$
$ \Rightarrow x = \dfrac{{150}}{{35}}$
$ \Rightarrow \dfrac{{30}}{7}$
$ \Rightarrow $4$\dfrac{2}{7}$
Therefore, 4$\dfrac{2}{7} \%$ is 150ml of 3.5 liters.
Thus, option (B) is the correct answer.

Note- When we need to compare the increment in a quantity over a period time, then we start by finding the difference between the original value and the increased value. And then after using this difference to find the relative increase against the original value and express it in the terms of percentage.