A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 18% and 39% on any number of toys bought. (B) Successive discounts of 29%, 45% and 4% on any number of toys bought. (C) 29% discount on the first 8 toys and 31% discount on each toy thereon. (D) 7 toys free of cost on buying 8 toys. A customer wants to buy 8 toys. Which of the above schemes is the least beneficial to her?
C
Take each toy's marked price as \(100\), so 8 toys carry a total marked price of \(800\). The least beneficial scheme is the one leaving the highest price to pay.
Scheme A: successive discounts of 18% and 39% give an effective factor \(0.82 \times 0.61 = 0.5002\), so payable \(= 800 \times 0.5002 = 400.16\).
Scheme B: successive discounts of 29%, 45% and 4% give \(0.71 \times 0.55 \times 0.96 = 0.37488\), so payable \(= 800 \times 0.37488 = 299.9\).
Scheme C: for exactly 8 toys the buyer gets 29% off on all 8 (the 31% part applies only to toys beyond the 8th), so payable \(= 800 \times 0.71 = 568\).
Scheme D: buy 8 toys and get 7 free, so she pays for 8 and receives 15; effectively she pays \(800\) for the 8 purchased toys, which for the 8 wanted toys is the full \(800\) but with 7 extra toys of value.
Comparing the amount paid for the 8 desired toys, Scheme C leaves the highest payable price of \(568\), making it the least beneficial.
Hence, Scheme C is the least beneficial to her.
Similar Questions
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- How much percentage above the cost price should a shopkeeper mark his goods so that after allowing a discount 25% he should gain 12%?
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- If on a marked price, the difference between selling prices with a discount of 45% and two successive discounts of 30% and 20% is ₹84, then the marked price is _______.
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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?
