The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 46% and 13%, shop II allows successive discounts of 55% and 69%, shop III allows successive discounts of 47% and 68%, and shop IV allows successive discounts of 91%, 98%, and 18% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
IV
Let the marked price be 1 (unit). After successive discounts of r₁%, r₂%, … the selling factor is \(\left(1 - \frac{r_1}{100}\right)\left(1 - \frac{r_2}{100}\right)\cdots\). The lowest selling price corresponds to the smallest such product.
Shop I (46%, 13%): \(0.54 \times 0.87 = 0.4698\), i.e. 46.98% of MP.
Shop II (55%, 69%): \(0.45 \times 0.31 = 0.1395\), i.e. 13.95% of MP.
Shop III (47%, 68%): \(0.53 \times 0.32 = 0.1696\), i.e. 16.96% of MP.
Shop IV (91%, 98%, 18%): \(0.09 \times 0.02 \times 0.82 = 0.001476\), i.e. about 0.1476% of MP.
Comparing the four selling factors, Shop IV gives the smallest value.
Hence, Shop IV sells the cooker at the lowest price.
Similar Questions
The marked price of a toy truck is ₹8,810, and its selling price is ₹6,250. Find the discount percentage. (Round off the answer to two decimal places.)
Successive discounts of 9% and 6% are equivalent to a single discount of:
Find a single discount (approximately) equal to three consecutive discounts of 2%, 8% and 15%.
A dealer marks his goods at 44% above the cost price and allows a discount of 75% on the marked price. What is his gain or loss percentage?
A shopkeeper offers the following four schemes:
A) Two successive discounts of 32% and 40%
B) Buy 1, get 5 free
C) A single discount of 48%
D) Two successive discounts of 8% and 33%
Which scheme is best for the shopkeeper?
A dealer purchased a washing machine for ₹7,660. If he allows a discount of 20% on the marked price, he sells it at the cost price (no profit, no loss). Then the marked price of the machine is:
A dealer marks his goods at 37% above the cost price and allows a discount of 16% on the marked price. What is his gain or loss percentage?
The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 87% and 66%, shop II allows successive discounts of 56% and 30%, shop III allows successive discounts of 23% and 69% and shop IV allows successive discounts of 97%, 45%, and 27% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
A shopkeeper marks the price of an article at 44% above its cost price and then offers two successive discounts of 39% each. What is his loss percentage? (Round off to the nearest integer)
The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 68% and 24%, shop II allows successive discounts of 37% and 55%, shop III allows successive discounts of 89% and 10% and shop IV allows successive discounts of 41%, 90% and 48% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
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?
