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Teddy paid R150 for a pair of shoes which originally cost R500. What percentage discount did she get?

Mathematics

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Answers

3 parts
2.1

78\dfrac{7}{8}

2.2

29\dfrac{2}{9}

2.3

2%2\%

Step-by-step solution

10 steps

Part 2.1· 3 steps

  1. Write the sum.

    12+14+18\frac{1}{2} + \frac{1}{4} + \frac{1}{8}
  2. Convert to common denominator 8.

    12=48\frac{1}{2} = \frac{4}{8} 14=28\frac{1}{4} = \frac{2}{8} 18=18\frac{1}{8} = \frac{1}{8}
  3. Add the fractions.

    48+28+18=78\frac{4}{8} + \frac{2}{8} + \frac{1}{8} = \frac{7}{8}

    Final answer: 78\frac{7}{8}
    \dfrac{7}{8}

Part 2.2

29\dfrac{2}{9}

  1. Calculate (23)2\left( \frac{2}{3} \right)^2.

    (23)2=49\left( \frac{2}{3} \right)^2 = \frac{4}{9}
  2. Subtract 29\frac{2}{9}.

    49−29\frac{4}{9} - \frac{2}{9}
  3. Simplify.

    4−29=29\frac{4 - 2}{9} = \frac{2}{9}

    Final answer: 29\frac{2}{9}
    \dfrac{2}{9}

Part 2.3

2%2\%

  1. Find the discount amount.

    Original price: R50
    Paid: R49
    Discount: R50 - R49 = R1

  2. Percentage discount formula.

    discountoriginal price×100%\frac{\text{discount}}{\text{original price}} \times 100\%
  3. Substitute values.

    R1R50×100%\frac{\text{R1}}{\text{R50}} \times 100\%
  4. Simplify.

    150×100%=2%\frac{1}{50} \times 100\% = 2\%

    Final answer: 2%
    2%

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