The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 46% and 62%, shop II allows successive discounts of 16% and 77%, shop III allows successive discounts of 74% and 54%, and shop IV allows successive discounts of 12%, 98%, and 86% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
IV
For successive discounts, the selling price factor is the product of the remaining fractions after each discount. Lower factor means lower selling price.
Shop I: \((1 - 0.46)(1 - 0.62) = 0.54 \times 0.38 = 0.2052\), i.e. 20.52% of the marked price.
Shop II: \((1 - 0.16)(1 - 0.77) = 0.84 \times 0.23 = 0.1932\), i.e. 19.32% of the marked price.
Shop III: \((1 - 0.74)(1 - 0.54) = 0.26 \times 0.46 = 0.1196\), i.e. 11.96% of the marked price.
Shop IV: \((1 - 0.12)(1 - 0.98)(1 - 0.86) = 0.88 \times 0.02 \times 0.14 = 0.002464\), i.e. about 0.25% of the marked price.
The smallest factor is Shop IV's, so its selling price is the lowest of the four.
Hence, Shop IV is selling the cooker at the lowest price.
Similar Questions
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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?
What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of Rs. 25,500?
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?
Lekhana saves Rs. 15 on the purchase of a book when a discount of 20% is given. How much did she pay for the book?
What will be the selling price if three successive discounts of 10% is applied on an item marked at Rs 3000?
