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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Important Questions from Successive Selling
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)?
Anil bought some articles at 6 for Rs. 8 and sold them at 10 for Rs. 12. His percentage loss or gain is:
The price of an article becomes Rs. 63 after a decrease of 30 percent. Find the original price. (in Rs.)
A man buys an article for 10 percent less than its value and sells it for 10 percent more than its value. His profit or loss percent is:
