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Percentages, SM-Bank 077

A loaf of bread is on sale with a 15% discount.

In the last hour of trading, the bread is reduced a further 20% on the already discounted price.

What is the overall percentage discount on the bread?  (2 marks)

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\(32\%\)

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\(\text{Strategy 1}\)

\(\text{Assume the bread costs }$1.00.\)

\(\text{Cost after }15\text{% discount}=$0.85\)

\(\text{Cost after further }20\text{% discount}\) \(= 0.85-(20\%\times 0.85)\)
  \(=0.85-0.17\)
  \(=$0.68\)

 
\(\therefore\ \text{Overall discount} =(1.00-0.68)\times 100 =32\text{%}\)
 

\(\text{Strategy 2}\)

\(\text{Overall discount}\) \(=1-(1\times 0.85\times 0.80)\)
  \(=1.00-0.68\)
  \(=0.32\)
  \(=32\%\)

Filed Under: Percentages Tagged With: num-title-ct-core, smc-4462-35-% Increase/Decrease, smc-4462-40-Word problems percentages

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