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

In a certain sweet shop, 7 boxes of ladoos, each containing the same number of ladoos, are sold. If they sell each ladoo at Rs. 8, then they make a profit of Rs. 90. If there were 1 ladoo less in each box and they sell each ladoo at Rs. 10, then also they gain a profit of Rs. 90 in the transaction. Find the cost price of each box of ladoo.

  1. Rs. 36.34

  2. Rs. 27.14

  3. Rs. 56.72

  4. Rs. 72.32

  5. Rs. 64.12
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of ladoos per box and C be the cost price per box. Total ladoos = 7x. Total CP = 7C. Revenue 1 = 7x * 8 = 56x. Profit = 56x - 7C = 90. Revenue 2 = 7(x-1) * 10 = 70x - 70. Profit = 70x - 70 - 7C = 90. Subtracting equations: (70x - 70 - 7C) - (56x - 7C) = 90 - 90 => 14x - 70 = 0 => x = 5. Substitute x=5: 56(5) - 7C = 90 => 280 - 7C = 90 => 7C = 190 => C = 190/7 = 27.14.

Multiple choice

Arjun marks his handicraft products in advance at 76 percent more than the cost price, but he allows 14 articles to the dozen and also 16 percent discount for customers paying through Paytm. What rate of profit on his outlay does he obtain from a customer who pays through Paytm?

  1. 25%

  2. 32%

  3. 26.72%

  4. 24.48%

  5. 28%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Arjun marks up by 76%. He gives 14 articles for the price of 12 (a discount of 2/14 = 1/7). He also gives a 16% discount. Calculate the effective multiplier: 1.76 * (12/14) * 0.84 = 1.76 * 0.857 * 0.84 = 1.2672. This represents a 26.72% profit.

Multiple choice

Abhinav buys certain female accessories worth Rs. 14200. He decides to make a profit of 8% on the sale of accessories worth Rs. 3200 and increase the profit percent by 4% for sales up to Rs. 8200 and then, increase the profit percent for the sale of remaining lot such that he is able to make a profit of 37% on the sale of the full lot. Find the profit that he makes on the third lot of female accessories.

  1. Rs. 5620

  2. Rs. 3342

  3. Rs. 5546

  4. Rs. 4398

  5. Rs. 3254
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total cost = 14200. Target profit = 37% of 14200 = 5254. Lot 1 (3200) profit = 8% of 3200 = 256. Lot 2 (5000) profit = 12% of 5000 = 600. Remaining lot = 14200 - 3200 - 5000 = 6000. Required profit from lot 3 = 5254 - 256 - 600 = 4398.

Multiple choice

There are four people who are selling an item to each other. Harish sells an article at 20% profit to Bala, Bala sells it to Catherine at 10% profit. Catherine sells it to Dilbag at Rs. 16 profit. The difference between the cost price of the article with Dilbag and cost price of that with Harish was Rs. 500. How much did Bala pay to Harish for the article?

  1. Rs. 1815

  2. Rs. 1920

  3. Rs. 1870

  4. Rs. 1930

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

Let Harish's CP be x. Bala's CP = 1.2x. Catherine's CP = 1.1 * 1.2x = 1.32x. Dilbag's CP = 1.32x + 16. Difference between Dilbag and Harish: (1.32x + 16) - x = 500. 0.32x = 484. x = 1512.5. Bala paid 1.2 * 1512.5 = 1815.

Multiple choice

Due to new year eve, a shopkeeper gives 15% additional discount on an already discounted price. The initial discount given was 25% on the marked price of a heater. If the final sale price of the heater is Rs. 704, then what is its marked price (in Rs.)?

  1. 1104.3

  2. 1150.56

  3. 1200

  4. 1500

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

Let M be the marked price. After 25% discount, price is 0.75M. After an additional 15% discount, price is 0.75M * 0.85 = 0.6375M. Setting 0.6375M = 704, M = 704 / 0.6375 = 1103.92, which is approximately 1104.3.

Multiple choice

A shopkeeper buys pulses at Rs. 10/kg and sold it at a price so that he can gain 40% profit. However, he has a faulty balance which shows 1000 gm when the weight is actually 800 gm. What is the actual gain percentage of the shopkeeper?

  1. 75%

  2. 80%

  3. 85%

  4. 90%

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

Cost price for 1000g is 10 Rs. Selling price for 800g is 10 * 1.4 = 14 Rs. The shopkeeper sells 800g for 14 Rs, so 1000g would be sold for (14/800) * 1000 = 17.5 Rs. Gain = (17.5 - 10)/10 = 75%.

Multiple choice

A shopkeeper is selling a set of books whose minimum retail price is 30% more than the cost price. Then, he sold quarter of his books at a discount of 15%, and half of the books at the minimum retail price and the rest at a discount of 30%. Find his profit percentage.

  1. 15.375%

  2. 14.256%

  3. 15.265%

  4. 14.396%

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

Let cost price = 100. Retail price = 130. 1/4 sold at 15% discount (130 * 0.85 = 110.5). 1/2 sold at 130. 1/4 sold at 30% discount (130 * 0.7 = 91). Average selling price = (0.25 * 110.5) + (0.5 * 130) + (0.25 * 91) = 27.625 + 65 + 22.75 = 115.375. Profit = 15.375%.

Multiple choice

Harman buys two dresses for a total cost of Rs. 900. By selling one dress for 4/5 of its cost price and the other for 5/4 of its cost price, she makes a profit of Rs. 90 on the whole transaction. The cost of the lower-priced dress is

  1. Rs. 300

  2. Rs. 400

  3. Rs. 350

  4. Rs. 450

  5. Rs. 250
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let x and y be the costs. x+y=900. Profit = (5/4)y - y + (4/5)x - x = 90. (1/4)y - (1/5)x = 90. Multiply by 20: 5y - 4x = 1800. Substitute x = 900-y: 5y - 4(900-y) = 1800. 5y - 3600 + 4y = 1800. 9y = 5400. y = 600. Then x = 300. The lower-priced dress is 300.