A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 50% and 16% on any number of toys bought. (B) Successive discounts of 49%, 8% and 13% on any number of toys bought. (C) 35% discount on the first 6 toys and 45% discount on each toy thereon. (D) On buying eight items, the customer is billed for only four items. A customer wants to buy 8 toys. Which of the above schemes is the least beneficial to her?
C
Let's analyze various discount schemes offered by the shopkeeper to determine which is the least beneficial for a customer buying 8 toys. Assume the marked price of each toy is 100 units for simplification.
- Scheme A: Successive Discounts of 50% and 16%
- First discount: \(100 \times (1 - 0.50) = 50\) units.
- Second discount: \(50 \times (1 - 0.16) = 42\) units.
- Effective price per toy = 42 units.
- Total cost for 8 toys = \(8 \times 42 = 336\) units.
- Scheme B: Successive Discounts of 49%, 8%, and 13%
- First discount: \(100 \times (1 - 0.49) = 51\) units.
- Second discount: \(51 \times (1 - 0.08) = 46.92\) units.
- Third discount: \(46.92 \times (1 - 0.13) = 40.82\) units.
- Effective price per toy = 40.82 units.
- Total cost for 8 toys = \(8 \times 40.82 = 326.56\) units.
- Scheme C: 35% Discount on First 6 Toys and 45% Thereafter
- First 6 toys cost: \(100 \times (1 - 0.35) = 65\) units per toy.
- Total for first 6 toys = \(6 \times 65 = 390\) units.
- Next 2 toys cost: \(100 \times (1 - 0.45) = 55\) units per toy.
- Total for next 2 toys = \(2 \times 55 = 110\) units.
- Total cost for 8 toys = \(390 + 110 = 500\) units.
- Scheme D: Buy 8 Pay for 4
- Cost for 4 toys at full price = \(4 \times 100 = 400\) units.
Comparing total costs for each scheme:
- Scheme A: 336 units
- Scheme B: 326.56 units
- Scheme C: 500 units
- Scheme D: 400 units
The least beneficial scheme is Scheme C, as it results in the highest total cost.
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Important Questions from Discount and MP
A single discount equivalent to two successive discounts of 15% and 25% is:
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An article was sold for Rs. 1,215 after giving a discount of 19%. If a discount of 17.5% is given, then for how much (in Rs.) should the article be sold?
