The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 32% and 67%, shop II allows successive discounts of 98% and 40%, shop III allows successive discounts of 37% and 74%, and shop IV allows successive discounts of 29%, 47%, and 92% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
II
For successive discounts, the final selling price as a fraction of the marked price is the product of \((1 - \text{discount})\) terms.
Shop I: \(0.68 \times 0.33 = 0.2244\), that is, 22.44% of marked price.
Shop II: \(0.02 \times 0.60 = 0.012\), that is, 1.2% of marked price.
Shop III: \(0.63 \times 0.26 = 0.1638\), that is, 16.38% of marked price.
Shop IV: \(0.71 \times 0.53 \times 0.08 \approx 0.0301\), that is, about 3.01% of marked price.
The lowest fraction of the marked price is at Shop II.
Hence, Shop II is selling the cooker at the lowest price.
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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?
