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

Passage

Directions: Study the given table carefully and answer the question that follows. Names of the Books Cost Price (in Rs.) Selling Price (In Rs.) Profit % Loss % Profit (In Rs.) Loss (In Rs.) A __ __ __ 20 __ __ B 1500 __ __ __ __ __ C 1200 __ __ __ __ __ D __ 1830 __ 40 __ __ E 2500 __ __ __ 300 __

If the profit of C is 12%, then the difference between selling price of C and E is approximately what percent of the cost price of D?

  1. 46.2

  2. 47.7

  3. 37.0

  4. 46.0

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Passage

Directions: Study the given information and answer the following question. The following table gives the discount offered by 5 different hardware stores on various items. Shop/Item Nuts Bolts Washers Screws Shop A - - 10% 10% Shop B - - 5% - Shop C 10% - - - Shop D - 5% - 10% Shop E - - - -

Shop C sources its nuts at a price of Rs. 90/kg and sells them at a profit margin of 20%. What is the discount on nuts offered by shop A if it marks their price Rs. 30 more than what it sells them for, that being equal to the marked price at shop C?

  1. 10%

  2. 15%

  3. 20%

  4. 22.5%

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

Shop C nuts: CP = 90, Profit = 20% of 90 = 18. Selling price = 108. Shop C discount is 10%, so Marked Price = 108 / 0.9 = 120. Shop A marked price = 120 + 30 = 150. Shop A sells at 120 (same as Shop C marked price). Discount = (150 - 120) / 150 = 30 / 150 = 20%.

Multiple choice

Passage

Directions: Study the given information and answer the following question. The following table gives the discount offered by 5 different hardware stores on various items. Shop/Item Nuts Bolts Washers Screws Shop A - - 10% 10% Shop B - - 5% - Shop C 10% - - - Shop D - 5% - 10% Shop E - - - -

Shop D has a marked price of Rs. 115/kg for bolts. Shop D ends up making a profit of Rs. 14.25/kg. Shop B sources its bolts at a cost of Rs. 5/kg more than at what shop D does. What is the discount offered by shop B if the difference between the marked price and the sale price is Rs. 40 and it manages to make a profit of 20%?

  1. 25%

  2. 20%

  3. 15%

  4. 10%

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: Study the given information and answer the following question. The following table gives the discount offered by 5 different hardware stores on various items. Shop/Item Nuts Bolts Washers Screws Shop A - - 10% 10% Shop B - - 5% - Shop C 10% - - - Shop D - 5% - 10% Shop E - - - -

If shop A makes a profit of 20% on selling screws, and if the marked price of the screws at shop D is the same as that at shop A, but shop D manages to source the screws at a price 5% lower than what shop A manages to, then what is the approximate difference in profit percentages that shop A and shop D make in selling the screws?

  1. 5%

  2. 6%

  3. 7%

  4. 8%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Shop A profit = 20%. Let MP = 100. Shop A discount = 10%, so SP = 90. CP = SP / 1.2 = 75. Shop D MP = 100. Shop D discount = 10%, so SP = 90. Shop D CP = 75 * 0.95 = 71.25. Shop D profit = (90 - 71.25) / 71.25 = 18.75 / 71.25 = 26.3%. Difference = 26.3 - 20 = 6.3%, which is approximately 6%.

Multiple choice

Passage

Directions: Study the given information and answer the following question. The following table gives the discount offered by 5 different hardware stores on various items. Shop/Item Nuts Bolts Washers Screws Shop A - - 10% 10% Shop B - - 5% - Shop C 10% - - - Shop D - 5% - 10% Shop E - - - -

If shop A offers two successive discounts of the same percentage as shop D does once on bolts, and if they both sell at the same price, then what will be the ratio of the marked price at shop D to that at shop A?

  1. 90 : 95

  2. 95 : 90

  3. 95 : 100

  4. 100 : 95

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

Shop D offers 5% discount on bolts. Shop A offers two successive discounts of 5% each. Let marked price at D be Md and at A be Ma. Selling price D = Md * 0.95. Selling price A = Ma * 0.95 * 0.95. Equating them: Md * 0.95 = Ma * 0.95 * 0.95, so Md / Ma = 0.95 / 1 = 95 / 100.

Multiple choice

Passage

Directions: The question contains a statement that is followed by quantities I, II and III. Read the information clearly and answer your question accordingly. The options represent the relations between these three quantities K) > L) < M) = N) ≤ O) ≥ For example: Quantity I = 200 Quantity II = 300 Quantity III = 100 (a) K, L (b) L, M (c) L, K (d) O, L (e) L, N Quantity I < Quantity II > Quantity III So, answer is (c)

Quantity I: The value of A, if the cost price of an article is Rs. A and percent marked up is 15%, then the marked price is Rs. 145 less than the marked price, when the cost price of the same article is Rs. (A + 100) and percent marked up is 20%. Quantity II: The value of B, if the cost price of an article is Rs. B and the profit percent is 20%, then the selling price is Rs. 140 less than the selling price, when the cost price of the same article is Rs. (B + 100) and the profit percent is 25%. Quantity III: The value of C, if the selling price of an article is Rs. C and the discount percent is 20%, then the marked price is Rs. 100 less than the marked price, when the selling price of the same article Rs. (C + 50) and the discount percent is 25%.

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice

Passage

Directions: Study the table carefully and answer the given question. The following table shows details of profit and loss percentages after providing discounts on 4 different items I, II, III and IV. Seller Item I Item II Item III Item IV A Profit % = 20 Loss % = 5 - - B Loss % = 10 - Profit % = 22 - C - - Profit % = 18 Loss % = 3 D Profit % = 15 Profit % = 15 - Profit % = 13 E - Loss % = 2 Loss % = 12 Profit % = 23

The ratio of selling price of item III for seller C to that for seller E is 9 : 5, and cost price of item III for seller C is Rs. 230 more than that for seller E. If marked prices of item III for sellers C and E are the same and also marked price of item III is marked as 25% more than the cost price of item III for seller C, then what percent of discount is offered by seller E on item III?

  1. 19%

  2. 22%

  3. 35.6%

  4. 47.5%

  5. 50.1%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

This requires extracting data from the table for sellers C and E for item III. Seller C: Profit 18%. Seller E: Loss 12%. Calculations based on the provided constraints lead to the discount percentage for E.

Multiple choice

Passage

Directions: Study the table carefully and answer the given question. The following table shows details of profit and loss percentages after providing discounts on 4 different items I, II, III and IV. Seller Item I Item II Item III Item IV A Profit % = 20 Loss % = 5 - - B Loss % = 10 - Profit % = 22 - C - - Profit % = 18 Loss % = 3 D Profit % = 15 Profit % = 15 - Profit % = 13 E - Loss % = 2 Loss % = 12 Profit % = 23

The sum of selling price of item III and that of item IV is Rs. 2,000, and marked price of item III and that of item IV for seller E are the same. If cost price of item III is ¼ times less than its marked price and cost price of item IV is ½ times less than its marked price, then what is the difference in discounts provided on both the items for seller E?

  1. Discount is the same for both the items.

  2. Rs. 1,764.72

  3. Rs. 3,529.44

  4. Rs. 4,509.84

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Passage

Directions: Study the table carefully and answer the given question. The following table shows details of profit and loss percentages after providing discounts on 4 different items I, II, III and IV. Seller Item I Item II Item III Item IV A Profit % = 20 Loss % = 5 - - B Loss % = 10 - Profit % = 22 - C - - Profit % = 18 Loss % = 3 D Profit % = 15 Profit % = 15 - Profit % = 13 E - Loss % = 2 Loss % = 12 Profit % = 23

Seller A marks the cost of each of the items I and II at 25% more than their actual cost price. If marked price of item I for seller A is Rs. 29,300 and that of item II for seller A is Rs. 30,500, then what percent of discount was provided on item II by seller A?

  1. 5%

  2. 15%

  3. 24%

  4. 25%

  5. 37%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Marked price of item II = 30500. Marked price is 25% more than cost price, so 1.25 * CP = 30500, CP = 24400. Seller A has a loss of 5% on item II, so selling price = 0.95 * 24400 = 23180. Discount = Marked Price - Selling Price = 30500 - 23180 = 7320. Discount % = (7320 / 30500) * 100 = 24%.

Multiple choice

Passage

Directions: Study the table carefully and answer the given question. The following table shows details of profit and loss percentages after providing discounts on 4 different items I, II, III and IV. Seller Item I Item II Item III Item IV A Profit % = 20 Loss % = 5 - - B Loss % = 10 - Profit % = 22 - C - - Profit % = 18 Loss % = 3 D Profit % = 15 Profit % = 15 - Profit % = 13 E - Loss % = 2 Loss % = 12 Profit % = 23

If the average selling price of item III for sellers B, C and E is Rs. 4820 and marked price of item III is twice the cost price of item III for seller B, 3/2 times the cost price of the same for seller C, and 4/3 times the cost price of the same for seller E, and also, marked price of item III for all the three sellers is the same, then what is the discount percentage provided by seller E?

  1. 6%

  2. 12%

  3. 24%

  4. 34%

  5. No discount is provided.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The average selling price for item III is 4820. Let MP be the marked price. For B, C, and E, the cost prices are MP/2, 2MP/3, and 3MP/4 respectively. Selling prices are SP_B = MP(1-d_B), SP_C = MP(1-d_C), SP_E = MP(1-d_E). Using profit percentages (Profit = (SP-CP)/CP), we find the discounts. This requires solving the system of equations based on the profit percentages provided in the table.

Multiple choice

Passage

Directions: Study the table carefully and answer the given question. The following table shows details of profit and loss percentages after providing discounts on 4 different items I, II, III and IV. Seller Item I Item II Item III Item IV A Profit % = 20 Loss % = 5 - - B Loss % = 10 - Profit % = 22 - C - - Profit % = 18 Loss % = 3 D Profit % = 15 Profit % = 15 - Profit % = 13 E - Loss % = 2 Loss % = 12 Profit % = 23

If the cost price of item IV is the same for all the sellers and difference between selling price of item IV for seller C and that for seller D is Rs. 500, then what is the actual cost price of item IV?

  1. Rs. 4,500

  2. Rs. 5,000

  3. Rs. 6,525

  4. Rs. 3,125

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Study the missing table chart and line graph carefully and answer the question given below. Given below the graph shows the profit percentage and discount percentage and given table shows the cost price, selling price and marked price of article A, B, C, D, E and F. Note: Some values are missing. You have to calculate these values as per data given in the question. Name of Article Cost Price(in Rs.) Selling Price (in Rs.) Marked Price (in Rs.) A 200 - - B - 420 - C - - 400 D - - - E 500 - 800 F 600 - -

If the cost price of aricle D is Rs.100 more than the cost price of article B, then the selling price of articles D and E together is how much more than the selling price of article F alone?

  1. Rs.220

  2. Rs.230

  3. Rs.210

  4. Rs.250

  5. Rs.310
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Passage

Directions: Study the missing table chart and line graph carefully and answer the question given below. Given below the graph shows the profit percentage and discount percentage and given table shows the cost price, selling price and marked price of article A, B, C, D, E and F. Note: Some values are missing. You have to calculate these values as per data given in the question. Name of Article Cost Price(in Rs.) Selling Price (in Rs.) Marked Price (in Rs.) A 200 - - B - 420 - C - - 400 D - - - E 500 - 800 F 600 - -

If a person bought two A type of articles and three B type of articles, then find the combined profit percentage.

  1. 43.55%

  2. 63.33%

  3. 55.55%

  4. 43.08%

  5. 72.22%
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Passage

Directions: Study the following information and answer the question that follows. The table below shows the percentage profit or loss of five different commodities based on the sum of cost price and shipping cost. Name of Goods Cost Price (in million dollars) Selling Price (in million dollars) Cost of Shipping (in million dollars) Profit (in million dollars) Loss (in million dollars) Profit or Loss % Sugar 90 30 Salt 80 0 30 Vegetable oil 200 50 25 Grains 500 0 5% loss Wine 600 40 7% profit

If the percentage profit on sugar is 5%, what is its selling price?
  1. $110 million
  2. $126 million
  3. $133 million
  4. $152 million

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Passage

Directions: Study the following information and answer the question that follows. The table below shows the percentage profit or loss of five different commodities based on the sum of cost price and shipping cost. Name of Goods Cost Price (in million dollars) Selling Price (in million dollars) Cost of Shipping (in million dollars) Profit (in million dollars) Loss (in million dollars) Profit or Loss % Sugar 90 30 Salt 80 0 30 Vegetable oil 200 50 25 Grains 500 0 5% loss Wine 600 40 7% profit

The selling price of Vegetable oil is what percent of the cost price of Salt?

  1. 150%

  2. 250%

  3. 125%

  4. 200%

  5. 100%
Reveal answer Fill a bubble to check yourself
B Correct answer