Bissoy.com
Doctors Medicines MCQs Q&A

A shopkeeper buys 50 kg of sugar from a dealer, keeps 5 kg for his own use, and tries to sell the rest at a certain fixed price. He sells 15 kg at that fixed price. Then, he offers a discount of 10% and sells 10 kg at this discounted price. Finally, he offers an additional 25% discount over the discounted price and manages to sell all the sugar he had left with him. He gets a total of Rs.1,875 after selling the sugar and makes an overall profit of 20%. If he could have sold the entire 50 kg sugar at its original fixed price without any discount, then what would have been his profit percentage?

A shopkeeper buys 50 kg of sugar from a dealer, keeps 5 kg for his own use, and tries to sell the rest at a certain fixed price. He sells 15 kg at that fixed price. Then, he offers a discount of 10% and sells 10 kg at this discounted price. Finally, he offers an additional 25% discount over the discounted price and manages to sell all the sugar he had left with him. He gets a total of Rs.1,875 after selling the sugar and makes an overall profit of 20%. If he could have sold the entire 50 kg sugar at its original fixed price without any discount, then what would have been his profit percentage? Correct Answer 60%

Given: 

Total sugar = 50 kg

Total selling price = 1875

Profit = 20% 

Concept Used:

Concept of percentage.

Profit = Selling price - Cost price

Calculations:

Let the selling price fixed be x

He selles 15kg at the fixed price = 15 × x

⇒ selling price of 15 kg sugar = 15x

Then he offers 10% discount

After discount price = x - 10%x

⇒ x(1 - 10%) = 9x/10

10 kg sugar sells at discounted price = 10 × 9x/10

⇒ Selling price of 10kg sugar = 9x

Then he offers additional discount 25%

After additional discount price become = 9x/10 - 9x/10 × 25%

⇒ 9x/10(1 - 1/4)             

⇒ 27x/40

Selling price of remaining sugar = (50 - 5 - 15 - 10) × 27x/40

⇒ 27x/2

Total selling price = 15x + 9x + 27x/2

⇒ 75x/2

Accordingly,

75x/2 = 1875

⇒ x = 50

The immitial fixed price was Rs.50/kg

If he sold 50kg sugar at this price then the total selling price will 50 × 50 = Rs. 2500

He gets Rs. 1875 and gain overall profit 20%

⇒ Cost price of 50 kg sugar = (100/120) × 1875 = 1562.5

If he sell total sugar at the fixed price then profit will (2500 - 1562.5) = 937.5

Then profit should be (937.5/1562.5) × 100 = 60%

∴ Then his profit percentage would have been 60%.

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. What is selling price of Bed if Dealer sells at a profit of 15%? I. Dealer marks bed 60% above cost price and allow a discount of 25%. If no discount is offered then he would get Rs. 1920 more profit. II. Dealer marks bed 75% above cost price and after allowing two successive discount of 20% sold to Simmu, Simmu sold it to Jayesh for Rs. 6720 and claims of profit 25%. III. Dealer marks bed 75% above cost price and after allowing a discount of 25% sells it to customer. If he allows an addition discount of 20% he would get Rs 1260 less.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationships between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among the three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: A shopkeeper earns a profit of 24% if he sells a product for Rs.186. What will be his profit percentage, if he sells the product for Rs.180? Quantity 2: A shopkeeper marks the price of a product 50% above its cost price and sells it at a discount of 20%. What is his profit percentage? Quantity 3: Mahesh sold a laptop to Shyam making a profit of 10%. Shyam sold it to Keshav making a profit of 12%. Keshav sold the laptop to Shital at a profit of 15%. By how much percentage the price of the laptop is increased?
A shopkeeper has 11 books of same cost price. He sells the first book at certain price, then he sells second book at a price which is Rs. 1 less than the selling price of first book and then he sells third book at a price which is Rs. 1, less than the selling price of second book. Following this pattern, he sold all 11 books. If he sells sixth book at its cost price. Find the over-all percent profit or loss on selling all 11 books = ?
A dealer bought a product and sold it to a shopkeeper, who further sold it to a customer, such that the dealer and the shopkeeper marked the price of the product 25% and 40% above the cost price respectively, and sold the product giving a discount of 10% and 25% respectively. If the dealer bought the product for Rs. 1680, at what price did the shopkeeper sold the product to the customer?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. A dishonest shopkeeper professes to sell his articles at a cost price but uses a faulty scale while selling. What is the profit percentage the shopkeeper makes when he sells the article at a cost price? Statement I. He uses a scale that weighs less by 25%. Statement II. The cost price of the article is Rs. 30 per kg. Statement III. If he has sold the articles at a 12.5% profit on cost price then his net profit percentage would have been 50%.
The cost price of an item is Rs Q and it was marked up on its cost price by R%. A discount of S% was provided while selling the item such that the percentage profit earned in selling it was 12.5% and the profit earned was Rs 45. If the article had been sold at a mark-up of (4R/5)% on the cost price and discount provided was R%, there would have been a loss of Rs 36. Which of the following can be determined? (A) The value of Q (B) The value of R (C) The value of S (D) Initial profit if the item had been sold without providing discount.
A company sold a bike worth Rs. 40000 to a dealer at a profit of 5%. The dealer sold it to a customer at a profit of 12%. After few years, the customer sold the bike back to the dealer at 25% loss. If the dealer sold the old bike to a new customer at 5% profit, at what price did the new customer bought the bike?
Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked for the bill. Rahul manages to get the discount of 5% on the actual selling price of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he got?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: A shopkeeper earns 20% profit by selling an item at Rs. P. If he increases the selling price by Rs. 90, he can make a profit of 35%. Find the value of P. Quantity 2: A shopkeeper earns x% profit even after allowing a discount of Rs. 126. Find the cost price of the article if the (x + 15)% profit is earned if no discount is offered. Quantity 3: When an article is sold for Rs. 984, the profit percentage is 4 times as much as when it is sold for Rs. 861. Find the cost price of the article. 
Anjum is counting his last days, he keeps half his property for his wife and divides the rest equally among his three sons: Bimar, Cumar and Danger. Some years later, Bimar dies, leaving half his property to his widow and half to his brothers, Cumar and Danger together, sharing equally. When Cumar makes his will, he keeps half his property for his widow and the rest he bequeaths to his younger brother Danger. When Danger dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1575000. What was the worth of the total property?