A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 6% and 39% on any number of toys bought. (B) Successive discounts of 48%, 16% and 11% on any number of toys bought. (C) 37% discount on the first 2 toys and 29% discount on each toy thereon. (D) 2 toys free of cost on buying 4 toys. A customer wants to buy 4 toys. Which of the above schemes is the least beneficial to her?
C
Assuming a marked price of ₹100 per toy, cost for 4 toys under each scheme:
(A) Successive 6% and 39% discount: \(400\times0.94\times0.61 \approx 229.36\).
(B) Successive 48%, 16% and 11% discount: \(400\times0.52\times0.84\times0.89 \approx 155.50\).
(C) 37% off first 2 toys, 29% off remaining 2 toys: \(2\times100\times0.63 + 2\times100\times0.71 = 126+142 = 268\).
(D) 2 toys free on buying 4 (pay for only 2): \(2\times100 = 200\).
Scheme C requires the customer to pay the most (₹268), making it the least beneficial.
Hence, scheme C is the least beneficial to the customer.
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Find a single discount percentage equivalent to successive discounts of 10%, 20% and 25%.