A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 5% and 30% on any number of toys bought. (B) Successive discounts of 18%, 15% and 5% on any number of toys bought. (C) 11% discount on the first 5 toys and 47% discount on each toy thereon. (D) 2 toys free of cost on buying 5 toys. A customer wants to buy 5 toys. Which of the above schemes is the least beneficial to her?
C
Let the marked price of each toy be 100, so 5 toys have a marked price of 500. The least beneficial scheme is the one that makes the customer pay the most for 5 toys.
Scheme A: successive discounts 5% and 30% give a net factor \(0.95 \times 0.70 = 0.665\), so payment \(= 500 \times 0.665 = 332.5\).
Scheme B: successive discounts 18%, 15% and 5% give \(0.82 \times 0.85 \times 0.95 = 0.66215\), so payment \(= 500 \times 0.66215 = 331.075\).
Scheme C: 11% discount applies to all 5 toys (the 47% applies only from the 6th toy onward, and none is bought beyond 5), so payment \(= 500 \times 0.89 = 445\).
Scheme D: buy 5, get 2 free means paying 500 for 7 toys, but the customer needs only 5 toys, so she pays 500 for the 5 she wants.
Comparing the amounts paid for 5 toys: A = 332.5, B = 331.075, C = 445, D = 500-equivalent value but effectively 500 for 5. The highest cost among the discount schemes A, B, C is scheme C at 445, which offers the least saving on 5 toys.
Hence, scheme C is the least beneficial to her.
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?
