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

On selling an article after allowing 20% discount on the marked price the profit percent is 10%. What is the cost price of the article? I. The given discount is Rs. 600. II. The marked price is Rs. 2000.

  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 I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: 20% of MP = 600, so MP = 3000. With 10% profit at 20% discount, CP = MP × 0.9/1.2. Statement II: MP = 2000 directly, allowing the same CP calculation. Each statement alone determines CP.

Multiple choice

At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5%? एक ग्राहक को 5% छूट देने पर 33% लाभ पाने के लिए वस्तु के क्रय मूल्य से कितना प्रतिशत अधिक अंकित करना होगा ?

  1. 48%

  2. 43%

  3. 40%

  4. 38%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. Target SP = 133 (33% profit). This SP is after 5% discount, so Marked Price × 0.95 = 133. Marked Price = 133/0.95 = 140. Markup = 140 - 100 = 40%. Formula: (1.33/0.95 - 1) × 100 = 40%.

Multiple choice

A shopkeeper fixed his marked price 30% above the cost price. He sell 50% of the stock at the marked price, 50% of the remaining stock at 15% discount on the marked price and remainig at 9% less then the cost price. Find his overall profit percent?

  1. 15.375%

  2. 16.375%

  3. 14.375%

  4. 17.375%

  5. 15.275%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100. MP = 130. First 50% sells at 130 (profit 30). Remaining 50%: half at 15% discount = sells at 130(0.85) = 110.5 (profit 10.5), final half at 9% less than CP = sells at 91 (loss 9). Weighted average = 0.5(30) + 0.25(10.5) + 0.25(-9) = 15 + 2.625 - 2.25 = 15.375%. Option A is correct.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What was the percentage profit when Raju sold the Car? I. Raju paid Rs. 60,000 for the Car. II. Raju bought the Motor Cycle in Rs. 25,000. III. Raju sold his car in Rs. 10,000

  1. Only I and II

  2. Only II and III

  3. All are necessary

  4. All together are not sufficient

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

To calculate percentage profit, we need CP and SP of the car. Statement I gives CP = Rs. 60,000. Statement III gives SP = Rs. 10,000. Statement II is irrelevant because it talks about a different item (Motor Cycle). With I and III together, we can calculate the percentage. However, options A, B, C, and D are all incorrect: A and B are insufficient combinations, C is wrong because II is not necessary, and D is wrong because I and III ARE sufficient. Therefore 'None of these' is correct.

Multiple choice

A shopkeeper offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is Rs.1600, then the cost price of the article- एक दुकानदार वस्तु के अंकित मूल्य पर 10% की छूट देता है और फिर भी वह 20% का लाभ प्राप्त करता है | यदि वस्तु का अंकित मूल्य रु.1600 है, तो वस्तु का अंकित मूल्य है -

  1. Rs./रु. 1800

  2. Rs./रु.1600

  3. Rs./रु.1400

  4. Rs./रु.1200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Selling price after 10% discount on Rs.1600 is Rs.1440. This gives 20% profit, so cost price = 1440/1.2 = Rs.1200. Option D matches this calculation.

Multiple choice

A trader sells two computers at the same price. On one he makes a profit of 15% and on the other he suffers a loss of 15%. Find his gain or loss percent.

  1. 2.25% loss

  2. 2.25% profit

  3. 4.5% loss

  4. 4.5% profit
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When selling at the same price with x% profit and x% loss, there is always a loss of (x/10)² percent. Here x=15, so loss = (15/10)² = 2.25%. This happens because the loss amount is always greater than the profit amount when cost prices differ.

Multiple choice

A fan in a shop is offered a discount of 10%. It is sold during clearance sale he give 6% additionl discount price and sell it at Rs. 846. The original marked price of the fan is ? एक दुकान में कोई पंखा 10% की छूट के साथ उपलब्ध है। उसे सेल के समय 6% अतिरिक्त छूट देकर रू. 846 में बेचा जाता है। तो उस पंखे का अंकित मूल्य कितना है ?

  1. 900

  2. 946

  3. 850

  4. 1000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work backwards from selling price. Let marked price = M. After 10% discount: 0.90M. After additional 6% discount on this amount: 0.90M × 0.94 = 0.846M. This equals Rs. 846. So M = 846/0.846 = 1000. Common mistake: applying discounts as 10% + 6% = 16% directly, which would give 846/0.84 ≈ 1007, wrong.

Multiple choice

The ratio of profit and loss occured on selling an article for Rs.860 and Rs.750 is 6 : 5 respectively. In another situation the ratio of the profit and loss on the same cost price is 10 : 7, then what will be the ratio of their selling prices, if sum of profit and loss is Rs.68?
  1. $110 : 113$
  2. $200 : 193$
  3. $210 : 193$
  4. $183 : 193$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First, find CP using SP1=860 (profit) and SP2=750 (loss) with profit:loss = 6:5. (860-CP)/(CP-750) = 6/5 gives CP = 800. First profit = 60, loss = 50. Second situation: profit:loss = 10:7 with sum = 68, so profit = 40, loss = 28. SP1' = 800+40 = 840, SP2' = 800-28 = 772. Ratio = 840:772 = 210:193.

Multiple choice

An article was sold at a profit of 12%. If the cost price would be 10% less and selling price would be Rs. 5.75 more, there would be profit of 30%. Then at what price it should be sold to make a profit of 20%?

  1. 115

  2. 138

  3. 145

  4. 152
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = x. Original SP = 1.12x (12% profit). New CP = 0.9x, new SP = 1.12x + 5.75. New profit = 30%, so (0.22x + 5.75)/0.9x = 0.30. Solving gives x = 115. For 20% profit on CP 115, SP = 1.20 × 115 = 138. Option B is correct.

Multiple choice

If a person gains Rs.56 profit after giving 23% discount. If he gains 10% on it then find the marked price. यदि एक दुकानदार अंकित मूल्य पर 23% की छूट देकर 56 रू. का लाभ प्राप्त करता है । यदि उसका लाभ 10% रहा हो तो उस खिलौने का अंकित मूल्य कितना है ?

  1. 810

  2. 800

  3. 560

  4. 740
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let marked price = M. With 23% discount, selling price = 0.77M. If profit is Rs.56, then CP = 0.77M - 56. Now with 10% profit, SP = 1.10 × CP = 1.10(0.77M - 56) = 0.847M - 61.6. But this SP also equals the marked price M (since no discount mentioned for the 10% profit scenario). So M = 0.847M - 61.6, which gives 0.153M = 61.6, so M = 61.6/0.153 ≈ 402.6. But wait, let me reconsider: if 10% profit scenario also has 23% discount, then SP = 0.77M = 1.10 × CP. From first case: CP = 0.77M - 56. So 0.77M = 1.10(0.77M - 56) = 0.847M - 61.6. Then 0.077M = 61.6, M = 800. This matches option B.

Multiple choice

Cost price of 12 apples is equal to the selling price of 9 apples and the discount on 10 apples is equal to the profit on 5 apples. What is the percentage point difference between the profit percentage and discount percentage? 12 सेबों का क्रय मूल्य 9 सेबों के विक्रय मूल्य के बराबर है और 10 सेबों पर छूट 5 सेबों के लाभ के बराबर है। लाभ प्रतिशत और छूट प्रतिशत के मानों का प्रतिशत अन्तर क्या है ?

  1. 22.22

  2. 20

  3. 16.66

  4. 15
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP of each apple = x. Then 12x = 9 × SP, so SP = 4x/3. Profit = (4x/3 - x)/x × 100 = 33.33%. Given: Discount on 10 = Profit on 5. Let MP = y. 10(y - 4x/3) = 5(4x/3 - x). This gives y - 4x/3 = x/3, so y = 5x/3. Discount = (y - SP)/y = (5x/3 - 4x/3)/(5x/3) = 20%. Difference = 33.33 - 20 = 13.33, which is 13.33 percentage points. But answer says 22.22. Let me recalculate: If discount equals profit on 5 apples: 10 × Discount amount = 5 × Profit amount. Discount amount = y - SP, Profit amount = SP - x = 4x/3 - x = x/3. So 10(y - 4x/3) = 5(x/3), giving y - 4x/3 = x/6, y = 3x/2. Discount% = (3x/2 - 4x/3)/(3x/2) × 100 = 11.11%. Profit% = 33.33%. Difference = 22.22%.

Multiple choice

The marked price of an article is Rs. 300. The shopkeeper gives a discount of 10% on the marked price and still gains 25%. Then the cost price of the article is- यदि वस्तु का अंकित मूल्य रू. 300 है। दुकानदार अंकित मूल्य पर 10% की छूट देकर भी 25% का लाभ कमाता है। तो उस वस्तु की क्रय कीमत है-

  1. Rs. 216

  2. Rs. 203.50

  3. Rs. 237.50

  4. Rs. 215
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Marked Price = Rs. 300. After 10% discount, SP = 300 × 0.9 = Rs. 270. With 25% profit: CP × 1.25 = 270. So CP = 270/1.25 = Rs. 216. Work backwards from selling price to cost price.

Multiple choice

A shopkeeper buys 40 bicycles and marks them at 25% above the cost price. He allows a discount of 10% on the marked price for cash sales, and 5% for credit sales. If one – fourth of the stock is sold for credit and the rest for cash, and if the total profit be Rs.37125, what is the cost price of a bicycle?

  1. Rs.7000

  2. Rs.6500

  3. Rs.6200

  4. Rs.6600
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be x. Cash sales (30 bikes): SP = 1.25x x 0.9 = 1.125x, profit = 0.125x each. Credit sales (10 bikes): SP = 1.25x x 0.95 = 1.1875x, profit = 0.1875x each. Total profit = 30(0.125x) + 10(0.1875x) = 5.625x = 37125, so x = 6600.

Multiple choice

The marked price of a mixer is Rs.1600. The shopkeeper gives successive discount of 10% and x% to the customer. If the customer pays Rs.1224 for the mixer, find the value of x

  1. 8%

  2. 10%

  3. 12%

  4. 15%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Marked price=Rs.1600. First discount 10%: price becomes 1600×0.9=Rs.1440. After second discount of x%, final price=1224. So 1440×(1-x/100)=1224, giving 1-x/100=1224/1440=0.85, so x/100=0.15, x=15%. Tests successive discount calculation and algebraic manipulation.