Question

Marcus solved this problem and found that 190% of 20 is 380. Is he correct? Explain why or why not. 190 percent = 1.90. 1.90 times 20 = 000. 000 + 3800 = 380.0.'

Answer 1

Answer:

Solution for What is 20 percent of 190:

20 percent * 190 =

( 20:100)* 190 =

( 20* 190):100 =

3800:100 = 38

Now we have: 20 percent of 190 = 38

Question: What is 20 percent of 190?

Percentage solution with steps:

Step 1: Our output value is 190.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$190=100\%$.

Step 4: Similarly, $x=20\%$.

Step 5: This results in a pair of simple equations:

$190=100\%(1)$.

$x=20\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{190}{x}=\frac{100\%}{20\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{190}=\frac{20}{100}$

$\Rightarrow x=38$

Therefore, $20\%$ of $190$ is $38$

Answer 2

Given: Marcus solved this problem and found that 190% of 20 is 380.

To find: If Marcus was correct.

Solution:

• Percent denotes a value per hundred.
• So, 190% can be written as

        $\frac{190}{100} = 1.9$

• The word 'of' denotes multiplication.
• On writing the according to the question, the equation obtained is as follows,

        $\frac{190}{100} * 20$

• On solving, the value is obtained as,

        $\frac{3800}{100} = 38$

• Since its value is 38, Marcus is wrong.
• The value calculated by Marcus was 380 but the correct value is 38.

Therefore, Marcus is incorrect because he found that 190% of 20 is 380 instead of 38.