The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 78% and 43%, shop II allows successive discounts of 74% and 83%, shop III allows successive discounts of 15% and 93%, and shop IV allows successive discounts of 93%, 84%, and 42% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
IV
Since the marked price is the same at all shops, the effective selling-price multiplier for successive discounts d1, d2, ... is (1 - d1)(1 - d2)....
Shop I: (1 - 0.78)(1 - 0.43) = 0.22 x 0.57 = 0.1254.
Shop II: (1 - 0.74)(1 - 0.83) = 0.26 x 0.17 = 0.0442.
Shop III: (1 - 0.15)(1 - 0.93) = 0.85 x 0.07 = 0.0595.
Shop IV: (1 - 0.93)(1 - 0.84)(1 - 0.42) = 0.07 x 0.16 x 0.58 ≈ 0.0065.
Shop IV has the smallest multiplier, so it sells the cooker at the lowest price. Hence, this is the correct answer.
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X sells goods to Y at a profit of 20 percent and Y sells the same goods to Z at a profit of 50 percent. If the cost price for Z is Rs 9000, then what is the cost of the goods for X?
