if $2000 is 40% what is the remaining 60%

Question

I am sure it is a simple equation, but I just can't seem to figure this one out.

if $2000 is 40% how do i figure out what the remaining 60% is in dollars

Answer 1

Method using ratios

Let the answer be $x$.

$$\frac{\$2000}{40\%}=\frac x{60\%}$$

$$x=\frac{\$2000\cdot60\%}{40\%}$$

$$x=\frac{\$2000\cdot3}{2}$$

$$x=\$3000$$

Method using the total sum

Because $\$2000$ is $40\%$ of total, then $\$1000$ is $20\%=\frac15$ of total, so the total is $5*\$1000=\$5000$.

So, $60\%$ of total is $60\%*\$5000=\frac{60}{100}*\$5000=\$3000$.

Answer 2

Percentages are very cool. As you know, $\%$ just stands in for $\times\frac{1}{100}$, but what you may not know is that to take a percentage of something, you just have to multiply by that percentage:

$$\text{$x\%$ of $N$}=(x\%)(N)=\frac{xN}{100}$$

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So, call the total money $T$. Saying that $\$2000$ is $40\%$ of $T$ tells us that

$$\$2000 = 0.4T \iff T=\frac{\$2000}{0.4}$$

Now, to get the remaining $60\%$, take

$$(60\%)T = (0.6)\frac{\$2000}{0.4}$$

I’ll let you do the arithmetic.

Answer 3

If $\$2000$ is $40\%$, it is $\frac{4}{10}$ of the total. So the remaining $60\%$ would be $(\$2000/40)\cdot60=\$3000$.

Answer 4

If $\$2000$ is $40\%$, then $\$1000$ is $20\%$, hence $\$3000$ is $60\%$.