Question

The increase of a value is from $1$to $3$. What percent of the increase in this value?
A.$66.7\% $
B.$100\% $
C.$200\% $
D.$150\% $

Answer 1

Hint: First of all find the original value and the new value and frame the formula in such a way that by first subtract the original value from the new value and then divide it by the original value and multiply it with the number by hundred and the resultant required answer will be in percentage.

Complete step-by-step answer:
Given number is $ = 1$
New number is $ = 3$
Increase $\% = \dfrac{{new{\text{ number - original number}}}}{{Original{\text{ number}}}} \times 100$
Place the given values in the above expression –
Increase $\% = \dfrac{{3 - 1}}{1} \times 100\% $
Simplify the above expression by finding the difference of the terms in the numerator and any number upon one is always numerator.
Increase $\% = 2 \times 100\% $
Multiply the terms in the above expression –
Increase $\% = 200\% $
From the given multiple choices, the option C is the correct answer.
So, the correct answer is “Option C”.

Note: By using the same formula when the resultant answer is negative then the change in percentage gives decrease in percentage. Be careful while simplifying the terms in the form of fractions. Remove common factors from the numerator and the denominator and then simplify for the required answer. Be good in DMAS mathematical operations and remember multiples till at least twenty.