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

Quantity I: A can complete a work in 20 dayswhile B alone can complete half of the work in 12days. They are working together and aftercompletion of the work they get Rs. 440. Find theshare of A. Quantity II: A gives a discount of 60% of themarked price which is 20% above the cost pricewhich is Rs. 650. Find the selling price.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot beestablished
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: A = 1/20 rate. B = 1/24 rate (half work in 12 days). A:B = 1/20 : 1/24 = 6:5. A's share = (6/11) * 440 = 240. Quantity II: CP = 650. MP = 1.2 * 650 = 780. Discount = 0.6 * 780 = 468. SP = 780 - 468 = 312. Quantity II > Quantity I.

Multiple choice

A store marks up the cost price of a product by 40%. During a sale, it offers a 25% discount on the marked price. If the selling price after the discount is $180.60, what is the cost price of the product?
  1. $120
  2. $168
  3. $172
  4. $200
  5. $240
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the cost price of the product be C. The marked price is 1.40C, and after a 25% discount, the selling price becomes 0.75 * 1.40C, which simplifies to 1.05C. Setting 1.05C equal to \$180.60 and solving for C gives a cost price of \$172.

Multiple choice

Veer adds 'x' litres water to pure milk to make a 104-litre milk-water solution. He sells this solution at a price that is 10% more than the cost price of pure milk and makes a profit of 43% on this transaction. If he adds 'x' litres water to 120 litres pure milk and sells the resulting solution at the cost price of pure milk, then what is his profit percentage in this transaction? (Assume that water comes free of cost)

  1. 25%

  2. 32%

  3. 30%

  4. 20%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In the first case, total cost is the cost of 104 liters of milk. Selling price is 1.1 * CP_milk * 104. Profit is 43%, so SP = 1.43 * CP_total. Equating these allows finding the ratio of water to milk. In the second case, with 120 liters of milk and the same amount of water, calculate the new profit percentage.

Multiple choice

Karen sold her house at a loss of 25 percent of the price that she originally paid for the house, and then bought another house at a price of 30 percent less than the price she originally paid for her first house. If she sold the first house for $225,000, what was her net gain, in dollars, for the two transactions?
  1. $15,000
  2. $25,000
  3. $60,000
  4. $75,000
  5. $90,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First house: Sold for 225,000 at 25% loss. Original price = 225,000 / 0.75 = 300,000. Loss = 75,000. Second house: Bought at 30% less than 300,000 = 210,000. This is not a transaction with a gain/loss on the second house, but the net gain is the difference between the sale price and the total cost. Net gain = 225,000 (sale) - 300,000 (cost 1) + 300,000 (cost 1) - 210,000 (cost 2) = 15,000.

Multiple choice

In terms of percentage profit, arrange the following transactions in decreasing order. (A) Cost price: Rs. 36, Profit: Rs. 17 (B) Cost price: Rs. 50, Profit: Rs. 24 (C) Cost price: Rs. 40, Profit: Rs. 19 (D) Cost price: Rs. 60, Profit: Rs. 29 Choose the correct answer from the options given below:

  1. D > C > B > A

  2. D > B > C > A

  3. B > D > C > A

  4. B > C > A > D
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit % = (Profit/CP)*100. (A) 17/36 = 47.2%. (B) 24/50 = 48%. (C) 19/40 = 47.5%. (D) 29/60 = 48.3%. Order: D (48.3) > B (48) > C (47.5) > A (47.2).

Multiple choice

A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?
  1. $5.60
  2. $7.20
  3. $8.80
  4. $9.60
  5. $15.20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To get the lowest price, apply the maximum discount first. 40% off 16 is 16 * 0.6 = 9.6. Then apply the additional 25% discount: 9.6 * 0.75 = 7.2.

Multiple choice

A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit on this shipment?
  1. $100
  2. $115
  3. $125
  4. $130
  5. $135
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost per head = 600 / 1500 = 0.4. Day 1: 1000 heads sold at 0.4 * 1.25 = 0.5. Revenue = 500. Day 2: 500 heads sold at 0.5 * 0.9 = 0.45. Revenue = 225. Total Revenue = 725. Profit = 725 - 600 = 125.

Multiple choice

A shopkeeper marks-up the price of moong dal by 40%. He gives a discount of 50% but uses false weights that are 4/5th of actual weights. If the shopkeeper purchases 100 gm moong dal for Rs.14, how much is the profit/loss percentage that he makes when he sells 350 gm of moong dal?

  1. Profit 40%

  2. Loss 12.5%

  3. Loss 37.5%

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Cost price for 100g = 14. Marked price = 14 * 1.4 = 19.6. Selling price for 100g (after 50% discount) = 9.8. Weight used = 4/5 * 100g = 80g. Cost for 80g = 14 * 0.8 = 11.2. Profit/Loss for 80g = 9.8 - 11.2 = -1.4. Loss % = (1.4 / 11.2) * 100 = 12.5%.

Multiple choice

Emily runs a small boutique where she sells handcrafted jewellery. She prices her jewellery to ensure a 50% profit. One of her bestselling items is a bracelet, which has a certain cost. Emily notices that if the cost of the bracelet were 30% lower and she reduced the selling price by $9.88, her profit would increase to 60%. Determine the original selling price of the bracelet.
  1. $26
  2. $39
  3. $41
  4. $52

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

Let Cost = C, Selling Price = 1.5C. New Cost = 0.7C. New Selling Price = 1.5C - 9.88. New Profit = 60% of 0.7C = 0.42C. So, 1.5C - 9.88 = 1.6 * 0.7C = 1.12C. 0.38C = 9.88, C = 26. Original Selling Price = 1.5 * 26 = 39.