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

A shopkeeper by selling 22 Skechers shoes, earns a profit equal to the selling price of 6 Skechers shoes. His profit percentage is:

  1. 27.2 percent

  2. 37.5 percent

  3. 54.4 percent

  4. 16.9 percent
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit = SP of 6 shoes. SP of 22 shoes = CP of 22 shoes + Profit = CP of 22 shoes + SP of 6 shoes. Thus, SP of 16 shoes = CP of 22 shoes. Profit % = (Profit / CP) * 100 = (SP of 6 / CP of 22) * 100. Since SP of 16 = CP of 22, SP = (22/16)CP = 1.375CP. Profit is 37.5%.

Multiple choice

Marked price of an item is Rs. 200. On purchase of 1 item discount is 22%, on purchase of 4 items discount is 33%. Rabia buys 5 items, what is the effective discount?

  1. 35 percent

  2. 30.8 percent

  3. 34 percent

  4. 20.4 percent
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total marked price for 5 items = 5 * 200 = 1000. Discount for 4 items is 33%, so 4 * 200 * 0.67 = 536. The 5th item has 22% discount, so 200 * 0.78 = 156. Total paid = 536 + 156 = 692. Effective discount = (1000 - 692) / 1000 = 30.8%.

Multiple choice

Narang bought two bikes for Rs. 20,000 each. One of them he sold at a profit of 15% and the other he sold at a loss of 5%. What was his net profit/loss%? If he sold the first bike at 20% profit and the second at 25% loss, what percentage of the previous profit/loss would his profit /loss now be?

  1. 5%, 70%

  2. 5%, 50%

  3. 5%, 60%

  4. 6%, 50%

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

In the first case, the net profit is 15% - 5% = 10% of the cost of one bike, which is a net profit of 5% on the total investment of Rs. 40,000 (amounting to Rs. 2,000). In the second case, the net result is a 20% profit and a 25% loss, leading to a net loss of 5% of one bike's cost, which is Rs. 1,000. Comparing the new loss of Rs. 1,000 to the previous profit of Rs. 2,000, we find it is exactly 50% of the previous value.

Multiple choice

A villager buys a goat and a sheep together for Rs. 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price, then what was the cost price of the cheaper animal?

  1. 8,250

  2. 6,600

  3. 7,500

  4. 6,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let S and G be the cost prices. 1.1S = 0.8G, so G = 1.1S/0.8 = 1.375S. S + 1.375S = 14250, so 2.375S = 14250. S = 6000. G = 8250. The cheaper animal is the sheep at 6000.

Multiple choice

On television of brand A, the discount is 25% and on television of brand B, the discount is 40%. The price of B after discount is Rs. 2,250 greater than the price of A after discount. What is the marked price of A (in Rs.) if marked price of B is Rs. 35,000?

  1. 18,750

  2. 21,000

  3. 25,000

  4. 17,850
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let marked price of A be x. Price of A after 25% discount is 0.75x. Price of B after 40% discount is 0.6 * 35000 = 21000. Given 21000 - 0.75x = 2250, so 0.75x = 18750, which gives x = 25000.

Multiple choice

On an item there is cash 5% discount on the marked price of Rs. 25,000. After giving an additional season's discount, the item is sold at Rs. 20,900. How much was the season's discount (in %)?

  1. 11

  2. 10

  3. 12

  4. 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The marked price is 25,000. After a 5% discount, the price becomes 25,000 * 0.95 = 23,750. Let the additional discount be x%. Then 23,750 * (1 - x/100) = 20,900. Solving this gives 1 - x/100 = 20,900 / 23,750 = 0.88, so x = 12.

Multiple choice

A merchant was gaining 10% by selling rice. Owing to the floods, he paid Rs. 2.50 more per kg than before and sold 1 kg for Rs. 4.50 more than before, thus gaining 20%. What was the cost price per kg of rice before the floods?

  1. Rs. 15

  2. Rs. 16

  3. Rs. 17

  4. Rs. 18

  5. Rs. 20
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. Initial SP = 1.1x. New CP = x + 2.5. New SP = 1.1x + 4.5. New gain = 20%, so 1.2(x + 2.5) = 1.1x + 4.5. 1.2x + 3 = 1.1x + 4.5. 0.1x = 1.5, so x = 15.