The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 87% and 37%, shop II allows successive discounts of 81% and 37%, shop III allows successive discounts of 57% and 54% and shop IV allows successive discounts of 91%, 25%, and 59% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
IV
Let the marked price be \(100\) in each case.
Shop I: \(100 \times 0.13 \times 0.63 = 8.19\).
Shop II: \(100 \times 0.19 \times 0.63 = 11.97\).
Shop III: \(100 \times 0.43 \times 0.46 = 19.78\).
Shop IV: \(100 \times 0.09 \times 0.75 \times 0.41 = 2.7675\).
Comparing the final prices, shop IV gives the smallest value (about 2.77), which is lower than shops I, II and III.
Hence, shop IV sells the cooker at the lowest price.
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