A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 44% and 12% on any number of toys bought. (B) Successive discounts of 18%, 43% and 23% on any number of toys bought. (C) 8% discount on the first 4 toys and 38% discount on each toy thereon. (D) On buying ten items, the customer is billed for only seven items. A customer wants to buy 10 toys. Which of the above schemes is the least beneficial to her?
C
The least beneficial scheme is the one that leaves the customer paying the highest total for 10 toys. Take each toy's marked price as 1 unit, so 10 toys are worth 10 units, and find the amount payable under each scheme.
Scheme A: two successive discounts of 44% and 12% give a paid fraction \(0.56 \times 0.88 = 0.4928\), so the customer pays \(0.4928 \times 10 = 4.928\) units.
Scheme B: three successive discounts of 18%, 43% and 23% give \(0.82 \times 0.57 \times 0.77 = 0.35996\), so the customer pays \(0.35996 \times 10 = 3.5996\) units.
Scheme C: the first 4 toys carry 8% discount, i.e. \(4 \times 0.92 = 3.68\) units; the remaining 6 toys carry 38% discount, i.e. \(6 \times 0.62 = 3.72\) units. Total paid \(= 3.68 + 3.72 = 7.4\) units.
Scheme D: pay for only 7 of the 10 toys, so the customer pays \(7\) units.
Comparing the amounts payable: A = 4.928, B = 3.5996, C = 7.4, D = 7. Scheme C makes the customer pay the most (7.4 units).
Hence, the least beneficial scheme is C.
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?
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?
