A shopkeeper offers the following schemes on toys of the same marked price. (A) Successive discounts of 21% and 8% on any number of toys bought. (B) Successive discounts of 38%, 42% and 30% on any number of toys bought. (C) 17% discount on the first 8 toys and 20% discount on each toy thereon. (D) 7 toys free of cost on buying 10 toys. A customer wants to buy 10 toys. Which of the above schemes is the least beneficial to her?
C
Let each toy have a marked price of ₹100, so 10 toys have a marked price of ₹1000. The least beneficial scheme is the one that makes the customer pay the most.
Scheme A: successive discounts 21% then 8% give a net factor \(0.79 \times 0.92 = 0.7268\), so the customer pays \(1000 \times 0.7268 = 726.80\).
Scheme B: successive discounts 38%, 42%, 30% give \(0.62 \times 0.58 \times 0.70 = 0.25172\), so the customer pays \(1000 \times 0.25172 = 251.72\).
Scheme C: 17% off on the first 8 toys costs \(8 \times 100 \times 0.83 = 664\); 20% off on the remaining 2 toys costs \(2 \times 100 \times 0.80 = 160\); total \(= 664 + 160 = 824\).
Scheme D: buying 10 toys gives 7 free, so effectively 17 toys for the price of 10, meaning the customer pays ₹1000 for goods worth ₹1700, a very large benefit.
Comparing the amounts paid for the same value, Scheme C costs the most at ₹824, giving the smallest saving.
Hence, Scheme C is the least beneficial to the customer.
Similar Questions
- An item marked for ₹38,800 is available on a discount of 25% or two successive discounts of 10% and 15%. What is the difference between the selling prices in the discount schemes?
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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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- The marked price of a shirt is ₹500. If the shopkeeper offers a 20% discount, what is the selling price of the shirt?
- 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?
