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

Gagan from Prayagraj(U.P.) bought a washing machine from a store in Muradabad (U.P.) for Rs. 36,000 and then Gagan marked the price of the washing machine 20% above its cost price and sold it to Rohit (U.P.) at 10% discount on the marked price. The rate of GST is 18% What is the marked price of washing machine and what is the amount paid by Rohit to Gagan?

  1. 38000, 47890.4

  2. 38880, 45678.2

  3. 4320, 45777.4

  4. 43200, 45878.4

  5. 34623, 34769.4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost = 36000. Marked price = 36000 * 1.2 = 43200. Selling price after 10% discount = 43200 * 0.9 = 38880. GST = 18% of 38880 = 6998.4. Total amount = 38880 + 6998.4 = 45878.4.

Multiple choice

A student purchased a history spectrum book from a wholesaler shop at a discount of 8% on marked price at the rate of CGST = 5%. Marked price of book was Rs. 450. Another student (U.P.) purchased the same book from online store flipkart (Mumbai) at the same marked price, but at a discount of 10% and rate of GST is 10%. What is the difference between the total amount of bill paid (in Rs.) inclusive of GST paid by both the students?

  1. 30.6

  2. 20.6

  3. 20

  4. 10.2

  5. 10.7
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

A shopkeeper buys an iphone at a discount of 15% from an apple store. Marked price of iphone is Rs. 82,000 and then shopkeeper sells it to a customer on the marked price. The sale is intra-state and rate of GST is 18%. What is GST (in Rs.) paid by the shopkeeper to central government?

  1. 1107

  2. 1000

  3. 6273

  4. 8400

  5. 8000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The shopkeeper buys at 15% discount on 82000, which is 69700. He sells at 82000. The GST is paid on the value added (profit). Profit = 82000 - 69700 = 12300. GST = 18% of 12300 = 2214. Since it is intra-state, the Central GST (CGST) is half of the total GST, which is 2214 / 2 = 1107.

Multiple choice

Quantity A Cost price of an article, which when sold for \$30 gives 20% profit Quantity B Selling price of an article, if it was bought for \$50 and sold at 50% loss

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity A: SP = 30, Profit = 20%. CP = 30 / 1.2 = 25. Quantity B: CP = 50, Loss = 50%. SP = 50 * 0.5 = 25. Both are 25.

Multiple choice

The difference between the cost price of 2 articles is Rs. 50. If one of the articles is sold at 40% profit and the other is sold at 5% profit, then the selling price will be the same. Find the total cost of the 2 articles.

  1. Rs. 320

  2. Rs. 350

  3. Rs. 390

  4. Rs. 420

  5. Rs. 450
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP1 = x, CP2 = y. x - y = 50. SP1 = 1.4x, SP2 = 1.05y. 1.4x = 1.05y => y = (1.4/1.05)x = (4/3)x. x - (4/3)x = 50 => -1/3x = 50 (take absolute difference). x = 150, y = 200. Total = 350.

Multiple choice

A shopkeeper buys 5 units of product A at ₹500 per unit. Unfortunately, 1 unit is destroyed during transportation. The remaining units are sold at a price that yields an overall profit of 20% on the total cost. What is the selling price per unit?

  1. ₹625

  2. ₹800

  3. ₹750

  4. ₹825

  5. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost = 5 * 500 = 2500. Target profit = 20% of 2500 = 500. Total revenue needed = 3000. Units remaining = 4. Selling price per unit = 3000 / 4 = 750.

Multiple choice

A shopkeeper bought a shirt for $'k' and marked its price at 20% profit. He sold the shirt to Brandam at 10% discount. Brandam also paid 5% sales tax. Which of the following represents the total amount (in $) Brandam paid to the shopkeeper in terms of k?

  1. (1.25)(0.9)k

  2. (1.05)(1.1)k

  3. (1.3)(1.1)k

  4. (1.05)(1.08)k
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost = k. Marked Price = 1.2k. Selling Price = 0.9 * 1.2k = 1.08k. With 5% sales tax, total = 1.05 * 1.08k.

Multiple choice

Two shopkeepers X and Y bought a chair at equal price. X marked up its price by 50%, whereas Y marked up its price by 60%. While selling the chair, X gave two consecutive discounts of 20% and 10%, whereas Y gave two consecutive discounts of 10% and 5%, respectively. Find the difference between the profit % earned by them.

  1. 27%

  2. 28.8%

  3. 29.5%

  4. 30%

  5. 32%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. X: MP = 150. SP = 150 * 0.8 * 0.9 = 108. Profit = 8%. Y: MP = 160. SP = 160 * 0.9 * 0.95 = 136.8. Profit = 36.8%. Difference = 36.8 - 8 = 28.8%.

Multiple choice

Ajay marked the price of his goods 30% more than his C.P. He then sells 1/4th of his stock at a discount of 15%, and half of the stock at the marked price, and the rest at a discount of 30%. Find his gain percentage?

  1. 16.5%

  2. 13%

  3. 15.375%

  4. 14.20%

  5. 13.37%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. MP = 130. Stock = 4 units. Total CP = 400. 1st unit (1/4) sold at 15% discount: 130 * 0.85 = 110.5. 2nd and 3rd units (1/2) sold at MP: 2 * 130 = 260. 4th unit (1/4) sold at 30% discount: 130 * 0.7 = 91. Total SP = 110.5 + 260 + 91 = 461.5. Profit = 61.5 on 400. Profit % = (61.5/400) * 100 = 15.375%.