Grade 6 Percentage

Step 1: Write the fraction: \( \frac{3}{4} \).

Step 2: Divide the numerator by the denominator:

\( 3 \div 4 = 0.75 \).

Step 3: Multiply by 100 to convert to percentage:

\( 0.75 \times 100 = 75\% \).

Step 4: Alternative method: Use fraction method:

\( \frac{3}{4} \times 100 = \frac{300}{4} = 75\% \).

Step 5: Therefore, \( \frac{3}{4} = 75\% \).

Step 1: Write the percentage as a fraction:

\( 20\% = \frac{20}{100} = 0.2 \).

Step 2: Multiply by the quantity:

\( 0.2 \times 150 = 30 \).

Step 3: Alternative method: Use fraction:

\( \frac{20}{100} \times 150 = \frac{20 \times 150}{100} = \frac{3000}{100} = 30 \).

Step 4: Therefore, 20% of 150 is 30.

Step 1: Calculate the increase:

\( 10\% \text{ of } 200 = \frac{10}{100} \times 200 = 20 \).

Step 2: Add the increase to the original amount:

\( 200 + 20 = 220 \).

Step 3: Alternative method: Use multiplication factor:

\( 200 \times (1 + \frac{10}{100}) = 200 \times 1.1 = 220 \).

Step 4: Therefore, increasing 200 by 10% gives 220.

Step 1: Calculate the decrease:

\( 25\% \text{ of } 80 = \frac{25}{100} \times 80 = 20 \).

Step 2: Subtract the decrease from the original amount:

\( 80 - 20 = 60 \).

Step 3: Alternative method: Use multiplication factor:

\( 80 \times (1 - \frac{25}{100}) = 80 \times 0.75 = 60 \).

Step 4: Therefore, decreasing 80 by 25% gives 60.

Step 1: Calculate the discount amount:

\( 15\% \text{ of } ₹500 = \frac{15}{100} \times 500 = 75 \).

Step 2: Subtract the discount from the original price:

\( 500 - 75 = 425 \).

Step 3: Alternative method: Use multiplication factor:

\( 500 \times (1 - \frac{15}{100}) = 500 \times 0.85 = 425 \).

Step 4: Therefore, the sale price is ₹425.