Question

9. Find the sum of 15% of 75 and 5% of 75. Is it equal to 20% of 75?
10​

Answer 1

15%of 75

$= 75 \times \frac{15}{100} \\ = 11.25$

5%of 75

$= 75 \times \frac{5}{100} \\ = 3.75$

now 15%of 75+5%of 75

$= 11.25 + 3.75 \\ = 15$

now ...20%of 75

$= 75 \times \frac{20}{100} \\ = 15$

therefore....

15%of 75+5%of 75=20%of 75

Answer 2

Answer:

Step-by-step explanation:

$15\%\hspace{0.1cm}of\hspace{0.1cm}75$ is calculated as

$\frac{15}{100} \times 75\\\\ \frac{15 \times 3}{4}\\\\ \frac{45}{4}$

Again $5\%\hspace{0.1cm}of\hspace{0.1cm}75$ is calculated as

$\frac{5}{100} \times 75\\\\ \frac{5 \times 3}{4}\\\\ \frac{15}{4}$

Now Adding $15\%\hspace{0.1cm}of\hspace{0.1cm}75$ and $5\%\hspace{0.1cm}of\hspace{0.1cm}75$

$\frac{45}{4} + \frac{15}{4}\\\\ \frac{45 + 15}{4}\\\\ \frac{60}{4}\\\\ 15$

Now, $20\%\hspace{0.1cm}of\hspace{0.1cm}75$ is calculated as

$\frac{20}{100} \times 75\\\\ \frac{20 \times 3}{4}\\\\ 5 \times 3\\\\ 15$

Yes, the sum of $15\%\hspace{0.1cm}of\hspace{0.1cm}75$ and $5\%\hspace{0.1cm}of\hspace{0.1cm}75$ is equal to $20\%\hspace{0.1cm}of\hspace{0.1cm}75$