Question

. Which is greater, 19% of 241600 or 22% of
193900 and by how much​

Answer 1

To find:

• Greater value between 19% of 241600 or 22% of 193900
• Difference between the values

Solution:

To compare the given numbers, we need to find out their values first.

$\sf{\longrightarrow 19\%\:of\:241600=\dfrac{19}{100}\times241600$

$\sf{=\dfrac{19\times241600}{100}}$

$\sf{= \dfrac{19\times2416}{1}}$

$\bf{=45904}$

$\sf{\longrightarrow 22\%\:of\:193900=\dfrac{22}{100}\times193900$

$\sf{=\dfrac{22\times193900}{100}}$

$\sf{=\dfrac{22\times1939}{1}}$

$\bf{=42658}$

Now, 45904 > 42658. So we know that 19% of 241600 is greater than 22% of 193900.

We are left to find the value by which 45904 is greater than 42658.

The difference = 45904 - 42658

                         = 3246

Therefore, 19% of 241600 is greater than 22% of 193900, and by 3246.

Note that,

→ 'Of' represents multiplication.

→ Percentage refers to a fraction with the denominator as 100. For example, 50% means 50/100.