Question

finding percentages of amounts - 25%
6.
25% of price =
7.
25% of price =
8.
25% of price =
9.
25% of price =
10.
25% of price =
challenge: next week, all the discounted prices will increase by 10% of the original price. work out the new price for each item.

Explanation:

Step 1: Recall the formula for percentage of an amount

To find \(25\%\) of a price, we use the formula: \(25\% \text{ of price} = \frac{25}{100} \times \text{price}\) or equivalently \(0.25\times\text{price}\).

Step 2: Calculate for each item

Item 6 (Jeans, Price = \$28.80)

\(25\% \text{ of } 28.80 = 0.25\times28.80 = 7.20\)

Item 7 (Pencil Case, Price = \$4.70)

\(25\% \text{ of } 4.70 = 0.25\times4.70 = 1.175\) (or \$1.18 if rounding to the nearest cent)

Item 8 (T - shirt, Price = \$9.10)

\(25\% \text{ of } 9.10 = 0.25\times9.10 = 2.275\) (or \$2.28 if rounding to the nearest cent)

Item 9 (Soccer Ball, Price = \$6.90)

\(25\% \text{ of } 6.90 = 0.25\times6.90 = 1.725\) (or \$1.73 if rounding to the nearest cent)

Item 10 (Guitar, Price = \$33.50)

\(25\% \text{ of } 33.50 = 0.25\times33.50 = 8.375\) (or \$8.38 if rounding to the nearest cent)

For the challenge part (finding new price after increasing discounted price by \(10\%\) of original price):

1. First, find the discounted price: Discounted price = Original price - \(25\%\) of original price (or equivalently \(75\%\) of original price)
2. Then, find \(10\%\) of original price: \(0.1\times\text{original price}\)
3. New price = Discounted price+\(10\%\) of original price

Item 6 (Jeans)

• Discounted price: \(0.75\times28.80 = 21.60\)
• \(10\%\) of original price: \(0.1\times28.80 = 2.88\)
• New price: \(21.60 + 2.88=24.48\)

Item 7 (Pencil Case)

• Discounted price: \(0.75\times4.70 = 3.525\) (or \$3.53)
• \(10\%\) of original price: \(0.1\times4.70 = 0.47\)
• New price: \(3.525+ 0.47 = 3.995\) (or \$4.00)

Item 8 (T - shirt)

• Discounted price: \(0.75\times9.10 = 6.825\) (or \$6.83)
• \(10\%\) of original price: \(0.1\times9.10 = 0.91\)
• New price: \(6.825 + 0.91=7.735\) (or \$7.74)

Item 9 (Soccer Ball)

• Discounted price: \(0.75\times6.90 = 5.175\) (or \$5.18)
• \(10\%\) of original price: \(0.1\times6.90 = 0.69\)
• New price: \(5.175+ 0.69 = 5.865\) (or \$5.87)

Item 10 (Guitar)

• Discounted price: \(0.75\times33.50 = 25.125\) (or \$25.13)
• \(10\%\) of original price: \(0.1\times33.50 = 3.35\)
• New price: \(25.125+ 3.35 = 28.475\) (or \$28.48)

Answer:

25% of price:

1. \(\$7.20\)
2. \(\$1.175\) (or \(\$1.18\))
3. \(\$2.275\) (or \(\$2.28\))
4. \(\$1.725\) (or \(\$1.73\))
5. \(\$8.375\) (or \(\$8.38\))

Challenge - New Prices:

1. \(\$24.48\)
2. \(\$3.995\) (or \(\$4.00\))
3. \(\$7.735\) (or \(\$7.74\))
4. \(\$5.865\) (or \(\$5.87\))
5. \(\$28.475\) (or \(\$28.48\))