Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- A person sells an item with 20% profit. What is the cost price of the item? I. The difference between the selling price and the cost price is Rs 16. II. The selling price is 120% of the cost price.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: Selling price - Cost price = 16, and profit = 20%. This means 0.2 × CP = 16, so CP = 80. This alone is sufficient. Statement II: SP = 120% of CP, which just restates the 20% profit definition given in the question. It doesn't give any numerical value to find CP. Therefore, only statement I is sufficient.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What is the profit earned by selling a laptop for Rs.26,250? Statement (I): The cost price of 5 laptops is equal to the selling price of 4 laptops. Statement (II): 25% profit earned by selling each laptop.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives CP of 5 laptops = SP of 4 laptops, so SP/CP = 5/4, meaning 25% profit. But we only know SP = Rs. 26,250, which is insufficient to find the profit amount without knowing CP. Statement II directly states 25% profit, but again doesn't give CP. Even together, we cannot determine CP from the given data, so profit amount cannot be calculated.

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What was the cost price of the suitcase purchased by Aseem? (I) Aseem got 20% concession on the labelled price. (II) Aseem sold the suitcase for Rs 2000 with 25% profit on the labelled price.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement II alone is sufficient. From (II): Selling price = Rs 2000 with 25% profit on labelled price. This means SP = 125% of labelled price, so labelled price = 2000 × 100/125 = Rs 1600. From (I): Aseem got 20% concession on labelled price, so cost price = 80% of labelled price = 0.8 × 1600 = Rs 1280. Statement II gives us the labelled price directly, and statement I then helps find cost price. Statement I alone is insufficient because we don't know the labelled price.

Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- What is the profit percentage on the sale of a toy? I. The marked price is 20% higher than the cost price and a discount of 10% is offered thereon. II. Marked price and cost price are Rs. 2880 and Rs. 2400 respectively.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: Marked price is 20% above cost, so MP = 1.2 × CP. Discount of 10% on MP gives SP = 0.9 × MP = 0.9 × 1.2 × CP = 1.08 × CP. Profit = 8% of CP. Statement I alone is sufficient. Statement II gives actual values: MP = 2880, CP = 2400, so discount amount = 288, SP = 2592, profit = 192, profit% = 192/2400 = 8%. Statement II is also sufficient alone.

Multiple choice

A vendor purchases $25$ dozen bananas at Rs. $12$ dozon. Three dozon got rotten and had to be thrown away. He sells $10$ dozons at Rs.$18$ per dozon and the remaining at Rs. $1.25$ per banana. What is his profit percentage?
  1. $5$%
  2. $10$%
  3. $12$%
  4. $20$%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The cost price is 25 x 12 = Rs. 300. The sales revenue is 10 x 18 + 12 x 12 x 1.25 = Rs. 360, since 3 dozen were wasted. The profit is Rs. 60, which is 20% of the cost price.