Problem 6 · The supermarket savings
Percentages: 12% of the shopping must be at least €15.
Integer answer, at most 4 digitsThe weekly shopping at supermarket A is on average 12% cheaper than at shop B next door. I only go to supermarket A if the saving is at least €15, to make up for the time and transport costs. What is the minimum price of the shopping I plan to do for me to choose supermarket A?
Copa Cangur · SCM
Easy
Closed answer
Reasoned solution
Key idea: the saving is $12\%$ of the price $p$ of the shopping (at shop B).
$$0.12\,p \ge 15 \;\Longrightarrow\; p \ge \frac{15}{0.12} = 125\ \text{€}.$$
Answer: 125