The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 46% and 13%, shop II allows successive discounts of 55% and 69%, shop III allows successive discounts of 47% and 68% and shop IV allows successive discounts of 91%, 98% and 18% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
IV
Compute the effective multiplier at each shop (fraction of marked price actually paid).
Shop I: (1 − 0.46)(1 − 0.13) = 0.54 × 0.87 = 0.4698 → 46.98%. Shop II: 0.45 × 0.31 = 0.1395 → 13.95%. Shop III: 0.53 × 0.32 = 0.1696 → 16.96%. Shop IV: 0.09 × 0.02 × 0.82 = 0.001476 → 0.1476%.
The smallest fraction is Shop IV, so Shop IV sells the cooker at the lowest price.
Hence, the answer is IV.
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Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?
A trader decided to mark his goods 15 percent above the cost price and then offered 40 percent discount. What will be the percentage of profit or loss?
On the sale of 20 percent discount, the value of an item is Rs. 760. What was the real value of the item?
What is the total discount applicable if 3 successive discounts of 20%, 10% and 12.5% are applied?
