The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 23% and 92%, shop II allows successive discounts of 88% and 47%, shop III allows successive discounts of 11% and 28% and shop IV allows successive discounts of 63%, 76% and 86% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
IV
For successive discounts, the final selling price as a fraction of the marked price is found by multiplying (1 − discount1)(1 − discount2)... for each shop.
Shop I: 0.77 × 0.08 = 0.0616; Shop II: 0.12 × 0.53 = 0.0636; Shop III: 0.89 × 0.72 = 0.6408; Shop IV: 0.37 × 0.24 × 0.14 ≈ 0.01243.
The lowest resulting fraction of the marked price corresponds to the lowest selling price, and Shop IV gives by far the smallest fraction.
Hence, the correct answer is shop IV.
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Important Questions from Successive Selling
By selling a watch at Rs. 840 a person loses 4%. Find the gain or loss if he sold it for Rs. 875?
Gaurav bought some articles at 5 for Rs. 6 and sold them at 10 for Rs. 11. His loss percentage is:
The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?
- The selling price of 24 articles is equal to the cost price of 26 articles. If, due to a change in market conditions, the selling price of each article decreases by $10\%$ and the cost price of each article increases by $5\%$, what will be the new gain or loss percentage (correct to two decimal places)?
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?
