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
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- A dealer buys two articles X and Y for ₹1,000 each. He marks each of them at the same price. He sells X by giving two successive discounts of 15% and 30% and still earns ₹337 as profit. If he sells Y at a single discount of 49%, then what is the profit percentage on Y?
- Find the single equivalent discount (rounded off to two decimal places) for successive discounts of 18%, 6% and 25%.
A shopkeeper marks the price of three identical articles, first, 60% above the Cost Price; second, 45% above the Cost Price and the third, 40% above the cost price. If he gives discount of 25% on first article, 20% on the second article and 15% on the third one, what is his overall profit percentage?
A dealer bought a six-seater Dining Table after getting successive discounts of 15% and 12%. Thereafter, he spent 10% on transport, etc. and finally sold it for Rs. 24,169.75, thereby earning a profit of 25%. What was the marked price of the Dining Table?
