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

Rajni purchased a mobile phone and a refrigerator for Rs. 12000 and Rs. 10000 respectively. She sold the refrigerator at a loss of 12 percent and mobile phone at a profit of 8 percent. What is her overall loss/profit?

  1. loss of Rs. 280

  2. profit of Rs. 2160

  3. loss of Rs. 240

  4. profit of Rs. 2060

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

Loss on refrigerator = 12% of 10000 = 1200. Profit on mobile = 8% of 12000 = 960. Net result = 960 - 1200 = -240, which is a loss of 240.

Multiple choice

Gopal bought a laptop for Rs. 48900. He marked the price of the laptop 60% above the cost price and sold to Radha at 35% discount. If Radha sold the same laptop to Komal at 25% profit. Find the discount offered by Radha provided the marked price of the laptop was same as Gopal had marked?

  1. 18.75%

  2. 13.34%

  3. 19.12%

  4. 14.35%

  5. 15.68%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost price = 48900. Marked price = 48900 * 1.6 = 78240. Selling price to Radha = 78240 * 0.65 = 50856. Radha sells to Komal at 25% profit, so Komal's price = 50856 * 1.25 = 63570. The discount offered by Radha is the difference between the marked price (78240) and the price she sold to Komal (63570), which is 14670. Discount percentage = (14670 / 78240) * 100 = 18.75%.

Multiple choice

Swati went shopping to buy a watch with some money. She selected a watch, which is marked Rs.400 higher price than the money she had. But shopkeeper gave two successive discounts of 10% and 15% respectively on the marked price of the watch. Then she could buy that watch and also another watch worth Rs.540 with all the money she had. Then what is the marked price on the first watch?

  1. Rs. 3060

  2. Rs. 3600

  3. Rs. 4000

  4. Rs. 4200

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M be the marked price. The cost price is M - 400. After discounts of 10% and 15%, the price is M * 0.9 * 0.85 = 0.765M. The equation is 0.765M = (M - 400) + 540, which simplifies to 0.765M = M + 140. This yields a negative price, suggesting an error in the problem statement or interpretation; however, checking the options, 4000 works if the discount logic or equation setup differs.

Multiple choice

Akash bought a Sopha for Rs. 50,000. After one year he sold it to Bhuvan at 10% less of his cost price. Bhuvan spends extra Rs.600 for its repair. And offered Sopha to Charan for Rs.X. Charan requested to get a discount of 15% on that price. But Bhuvan gave him two successive discounts of 10% and 5% instead of 15%.By this Bhuvan got Rs.300 more from Charan. What is the profit % of Bhuvan?

  1. 10%

  2. 12.5%

  3. 15%

  4. 20%

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

Akash cost = 50,000. Bhuvan cost = 45,000 + 600 = 45,600. Bhuvan sells to Charan. Successive discounts of 10% and 5% on X = 0.9 * 0.95 * X = 0.855X. 15% discount on X = 0.85X. Difference = 0.005X = 300. X = 60,000. Selling price = 0.855 * 60,000 = 51,300. Profit = 51,300 - 45,600 = 5,700. Profit % = 5,700 / 45,600 = 12.5%.

Multiple choice

Juli purchases an old car at successive discounts of 10% and 20%. She invests 10% of the cost price in repairing the car and sells it at a profit of 15%. If the printed price of the car is $25,000, then what is the selling price of the car?
  1. $19,800
  2. $22,770
  3. $23,460
  4. $23,890
  5. $24,230
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Printed price = 25,000. After 10% and 20% discounts: 25,000 * 0.9 * 0.8 = 18,000. Repair cost = 10% of 18,000 = 1,800. Total cost = 19,800. Selling price at 15% profit = 19,800 * 1.15 = 22,770.

Multiple choice

Anil makes a profit of 18% on cost price by selling a washing machine for Rs. 5900. If the cost price of the machine is increased by 5% and he wants to earn the same profit, what will be the new profit percent on selling price?

  1. 14.63%

  2. 12.25%

  3. 15.96%

  4. 17.14%

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

Selling price = 5900, profit = 18%. Cost price = 5900 / 1.18 = 5000. New cost price = 5000 * 1.05 = 5250. Profit amount = 5900 - 5000 = 900. New selling price to keep same profit = 5250 + 900 = 6150. New profit percent on selling price = (900 / 6150) * 100 = 14.63 percent.

Multiple choice

Aman marked his bike 40% above cost price and sold it to Arun after two consecutive discounts of 10% and 20%. In this transaction Aman made a profit of Rs.416. Find the profit earned by Arun if he sold thebike to Alok at a profit of 12%?

  1. Rs. 6901.98

  2. Rs. 6289.92

  3. Rs. 7250.23

  4. Rs. 6670.74

  5. Rs. 6115.85
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100. Marked Price = 140. After 10% and 20% discounts: 140 * 0.9 * 0.8 = 100.8. Profit = 0.8 units = 416. 1 unit = 520. CP = 52,000. Selling Price to Arun = 52,416. Arun sells at 12% profit: 52,416 * 1.12 = 58,705.92. Profit = 58,705.92 - 52,416 = 6,289.92.

Multiple choice

A shopkeeper bought an article for Rs. x. He spent Rs. 650 on its repair. He marked the article 60% above the total price of the article for the shopkeeper and then sold the article offering two consecutive discounts of 10% and 25%. If he made a profit of Rs.248 then find the value of x.

  1. 2000

  2. 2450

  3. 2370

  4. 2200

  5. 2780
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price be x. Total cost is x + 650. Marked price is 1.6(x + 650). Selling price after discounts of 10% and 25% is 1.6(x + 650) * 0.9 * 0.75 = 1.08(x + 650). Profit is 1.08(x + 650) - (x + 650) = 0.08(x + 650) = 248. Solving for x gives x + 650 = 3100, so x = 2450.

Multiple choice

The profit percentage of P and Q is same on selling the articles at Rs. 1800 each but P calculates his profit on the selling price while Q calculates it correctly on the cost price which is equal to 20%. What is the difference in their profits?

  1. 40

  2. 50

  3. 60

  4. 70

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

Selling price = 1800. Q's profit = 20% on cost price. 1800 = CP + 0.2*CP = 1.2*CP => CP = 1500. Profit = 300. P's profit = 20% on selling price = 0.2 * 1800 = 360. Difference = 360 - 300 = 60.