Question

If 88% of 370 + 24% 210 - x = 118 , Then x=?
A. 256
B. 258
C. 268
D. 358

Answer 1

Hint: To solve this first we need to convert percentage into decimal and then apply the BODMAS rule to find the value of x. BODMAS is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Complete step-by-step answer:
BODMAS explains the sequence of tasks to be done until an expression is settled. If an expression includes brackets ((), {}, []), according to the BODMAS law, we first have to solve or simplify the bracket followed by 'order' (that means powers and roots, etc.), then divide, multiply, add and deduct from left to right. In the wrong order, solving the issue would result in a wrong answer.
Given equation is:
 $ 88\% \,{\text{of}}\,\,370 + 24\% \,{\text{of}}\,\,210 - x = 118 $
We need to find the value of x.
If we need to convert percentage into decimal we need to divide it by 100 and here of means times.
So,
88% will be written as $ \dfrac{{88}}{{100}} = 0.88 $ and 24% will be written as $ \dfrac{{24}}{{100}} = 0.24 $ .
More elaborately, the equation can be written as follows,
 $ 0.88 \times 370 + 0.24 \times 210 - x = 118 $
Now, solve for x, by applying BODMAS rule.
 $
\Rightarrow 0.88 \times 370 + 0.24 \times 210 - x = 118 \\
\Rightarrow 325.6 + 50.4 - x = 118 \\
\Rightarrow 376 - x = 118 \\
\Rightarrow 376 - 118 = x \\
\Rightarrow x = 258 \;
  $
Therefore, the value of x will be 258.
So, the correct answer is “258”.

Note: A percentage is a number or ratio in mathematics that can be expressed as a fraction of 100. If a percent of a number needs to be determined, divide the number by the whole and multiply it by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is defined by the 'percent' symbol.
Percentages don't have a dimension. It is, therefore, called a dimensionless number. If we say 50% of a number, so that implies 50% of the entire number.