Question

How do you increase $\$ 1400$ by $30\% $?

Answer 1

Hint: In this problem we have given some value in dollars. And we are asked to find the new value from the given dollar value by increasing some percentage on the given dollar value. For this we have first found how much the given dollar value increased by the given percentage value. And then we need to add the increased amount with the actual given dollar amount.

Complete step-by-step solution:
The actual given amount is $\$ 1400$.
We asked to increase the actual amount by $30\% $.
Here we know the actual amount and we want to calculate how much we add for a $30\% $. For this we have to multiply the actual amount with $\dfrac{{30}}{{100}}$. Since always a percentage can be expressed in the fractional form where the denominator is $100$
Increased amount $ = \$ 1400 \times \dfrac{{30}}{{100}}$
Increased amount $ = \$ 14 \times 30$
$\therefore $Increased amount $ = \$ 420$
Now we just add the increased amount with the given actual dollar amount. We get,
$ \Rightarrow \$ 420 + 1400$
Let us add the term and we get
$ \Rightarrow \$ 1820$

Therefore, when we increase $\$ 1400$ by $30\% $, we get \[\$ 1800\]

Note: If we know the actual amount of any item and want to calculate how much we must add for a $30$ percent markup, multiply the actual amount by $0.3$, which is $30$ percent expressed in decimal form. Then the result is the amount of markup we should add.
Actually while finding the increasing amount we can multiply the percentage amount in decimal form with the actual amount. That is, increased amount $ = \$ 1400 \times 0.3 = \$ 420$. The shortest way to convert from a percentage to a decimal is by removing the percent sign and moving the decimal point two places to the left.