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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- 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?
