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

If the cost prices of articles A and B are in the ratio 3:4 and the selling prices are in the ratio 5:6 and the profit obtained on selling both of them is the same. What is the profit percentage on selling article B?

  1. 30%

  2. 40%

  3. 50 %

  4. 20%

  5. 10%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP ratio A:B = 3x:4x. SP ratio A:B = 5y:6y. Profit A = 5y-3x, Profit B = 6y-4x. Given 5y-3x = 6y-4x, so x = y. Profit A = 5x-3x = 2x. Profit B = 6x-4x = 2x. Profit % on B = (Profit / CP) * 100 = (2x / 4x) * 100 = 50%.

Multiple choice

A shopkeeper marked up of article A at 60%above its cost price and sold it at the discount of 25%. Profit made by shopkeeper on article A is Rs.475. If the cost price of article B is 40% more than that of article A and profit on both articles is same, then find the selling price of article B?

  1. 7800

  2. 4500

  3. 2300

  4. 3800

  5. 2700
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Article A: CP=x, MP=1.6x, SP=1.6x*0.75=1.2x. Profit=0.2x=475 => x=2375. Article B: CP=1.4*2375=3325. Profit=475. SP=3325+475=3800.

Multiple choice

The gas station owner, who lacks honesty, claims to sell pure petrol at its original cost, but in reality, he/she mixes it with some impure liquid to make a profit of 28%. If the impure liquid is readily accessible, what percentage of this impure liquid is present in the mixture?

  1. 80.752%

  2. 87.525%

  3. 21.875%

  4. 20.875%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To get a 28% profit by selling at cost, the ratio of impure liquid to pure petrol must be 28/100. The mixture consists of 100 parts petrol and 28 parts impurity. The percentage of impurity is 28 / (100 + 28) = 28 / 128 = 0.21875, or 21.875%.

Multiple choice

A jeweller purchased a large gemstone in the shape of a sphere at a cost of INR 8,00,280. The jeweller then decided to cut the gemstone into smaller spherical pieces, each with a radius one-sixth of the radius of the original gemstone, for sale. Assuming negligible cost for cutting, if the jeweller sold all the pieces of gemstones at a 25% discount on the marked price and made a total profit of 20%, what was the marked price of each piece of gemstone in INR?

  1. 2,598

  2. 5,928

  3. 8,952

  4. 9,825
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of sphere is proportional to r^3. Cutting into pieces with r/6 means each piece has volume (1/6)^3 = 1/216 of the original. Total pieces = 216. Profit 20% on 800,280 = 960,336 total revenue. Revenue per piece = 960,336 / 216 = 4,446. Selling price = 0.75 * Marked Price = 4,446. Marked Price = 4,446 / 0.75 = 5,928.

Multiple choice

In an artisanal pottery shop, the craftsman sold a handcrafted vase for Rs. 608 after offering a discount of 20% on its marked price, followed by an additional 5% discount. If he had sold the vase at its full marked price, the profit would have been 25%. What was the original cost price of the vase (in Rs.)?

  1. 480

  2. 608

  3. 640

  4. 800

  5. 1,540
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Selling Price = 608. Let MP be marked price. MP * 0.8 * 0.95 = 608. MP * 0.76 = 608. MP = 800. If sold at MP, profit is 25%. CP * 1.25 = 800. CP = 800 / 1.25 = 640.

Multiple choice

A jewellery store owner marks up the prices of his products by 20% above the cost price. He sells 70% of the jewellery at the marked price, giving a 10% discount, and the remaining at a 20% discount on the marked price. What is the overall profit/loss percentage for the jewellery store owner?

  1. 3.6

  2. 4.4

  3. 5.6

  4. 8.2

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

Let CP = 100, MP = 120. 70% sold at 10% discount (120 * 0.9 = 108). 30% sold at 20% discount (120 * 0.8 = 96). Total Revenue = 0.7 * 108 + 0.3 * 96 = 75.6 + 28.8 = 104.4. Profit = 4.4%.

Multiple choice

Emily, the owner of a beloved food truck, eagerly joined a local food festival. She purchased a variety of food items from suppliers for a total of Rs. 6,080. Each food item had the same cost price. Emily decided to sell some items at a 30% profit, while the rest, 20 items in total, at a 15% loss. Her aim was to make a profit of Rs. 1,536. Due to the festival's popularity, Emily sold 15 more items than planned at the profit margin and the rest at a loss. In the end, she made an overall profit of Rs. 1,752. What was the cost price of each food item, in rupees?

  1. 29

  2. 30

  3. 31

  4. 32

  5. 33
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the cost price per item and n be the total number of items. Total cost = nx = 6080. The first scenario gives 0.3(n-20)x - 0.15(20)x = 1536. The second scenario gives 0.3(n-5)x - 0.15(5)x = 1752. Solving these equations leads to x = 32.

Multiple choice

Rohan purchased a rare antique watch at successive discounts of 35% and 20%. He invests 25% of the cost price in restoring the watch and decides to sell it at a profit of 50%. However, due to high demand, he receives an offer from a collector to buy the watch at a price that is 10% higher than his intended selling price. If the printed price of the watch is Rs. 2,00,000, then what is the final sale price of the watch?

  1. Rs. 2,04,500

  2. Rs. 2,18,500

  3. Rs. 2,14,500

  4. Rs. 2,00,500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Printed price = 2,00,000. After 35% and 20% discounts, CP = 2,00,000 * 0.65 * 0.80 = 1,04,000. Restoration cost = 25% of 1,04,000 = 26,000. Total cost = 1,30,000. Intended SP = 1,30,000 * 1.5 = 1,95,000. Final sale price = 1,95,000 * 1.1 = 2,14,500.

Multiple choice

A person offered a discount of 25% on a pair of shoes and sold them at a profit of 50%. Had he sold them at a 50% discount, what percentage profit or loss would he have made?

  1. 29.44% profit

  2. 10% loss

  3. 4% profit

  4. No profit, no loss

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

Let the cost price be 100. Selling at 25% discount means selling at 75% of marked price (MP), which equals 150 (50% profit). Thus, MP = 150/0.75 = 200. Selling at 50% discount means selling at 100, which is exactly the cost price, resulting in no profit or loss.