1 . A shopkeeper marks the price of an item 50% above the cost price. He then offers a discount of 20%. What is the profit percentage he makes?
A) 20%
B) 25%
C) 30%
D) 35%
Explanation: Let the cost price be x. The marked price is 1.5x. After offering a 20% discount, the selling price becomes 0.8(1.5x) = 1.2x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.2x – x) / x * 100% = 20%. Therefore, the answer is (A) 20%.
2 . A trader marks up the price of his goods by 25%. He then allows a discount of 10% for cash payment. If the cost price of the goods is $600, what is the profit percentage he makes?
A) 10%
B) 12.5%
C) 15%
D) 20%
Explanation: The marked price is 1.25 * 600 = $750. After a 10% discount, the selling price becomes 0.9 * 750 = $675. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (675 – 600) / 600 * 100% = 12.5%. Therefore, the answer is (B) 12.5%.
3 . A person sells an article for $750, which is 20% more than the cost price. What is the cost price of the article?
A) $600
B) $625
C) $650
D) $700
Explanation: Let the cost price be x. The selling price is 1.2x. Substituting the value of selling price, we get 1.2x = 750. Solving for x, we get x = 625. Therefore, the answer is (B) $625.
4 . A trader incurs a loss of 20% on selling an article. If the selling price of the article is $640, what is the cost price of the article?
A) $800
B) $720
C) $640
D) $800
Explanation: Let the cost price be x. The selling price is 0.8x. Substituting the value of selling price, we get 0.8x = 640. Solving for x, we get x = $800. Therefore, the answer is (A) $800.
5 . A man buys an article for $500 and sells it at a profit of 20%. What is the selling price of the article?
A) $600
B) $550
C) $520
D) $480
Explanation: The profit percentage is 20%, so the selling price is 1.2 times the cost price. Therefore, the selling price is 1.2 * 500 = $600. Therefore, the answer is (A) $600.
6 . A shopkeeper sells an article at a profit of 25%. If he had sold it for $100 more, he would have made a profit of 40%. What is the cost price of the article?
A) $250
B) $200
C) $225
D) $175
Explanation: Let the cost price be x. The selling price with a 25% profit is 1.25x. If he sold it for $100 more, the selling price would be 1.4x. We can write the following equation based on the given information:
1.4x – 1.25x = 100
Solving for x, we get x = $200. Therefore, the answer is (B) $200.
7 . A retailer buys a radio for $150 and marks it up by 40%. He then offers a discount of 20% on the marked price. What is his profit percentage?
A) 8%
B) 10%
C) 12%
D) 15%
Explanation: The marked price is 1.4 * 150 = $210. After offering a 20% discount, the selling price becomes 0.8 * 210 = $168. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (168 – 150) / 150 * 100% = 12%. Therefore, the answer is (C) 12%.
8 . A person sold an article for $400 and incurred a loss of 20%. What is the cost price of the article?
A) $480
B) $500
C) $450
D) $600
Explanation: Let the cost price be x. The selling price is 0.8x. Substituting the value of selling price, we get 0.8x = 400. Solving for x, we get x = $500. Therefore, the answer is (B) $500.
9 . A trader sold an article for $1,800, which was a loss of 10%. What was the cost price of the article?
A) $2,000
B) $1,980
C) $1,900
D) $1,620
Explanation: Let the cost price be x. Since the trader sold the article at a loss of 10%, the selling price is 0.9x.
0.9x = 1,800
x = 1,800 / 0.9
x = $2,000
Therefore, the answer is (A) $2,000.
10 . A man bought an article for $720 and sold it for $900. What is his profit percentage?
A) 12.5%
B) 20%
C) 25%
D) 30%
Explanation: The profit is the difference between the selling price and the cost price.
Profit = Selling price – Cost price = $900 – $720 = $180
Profit percentage = (profit / cost price) * 100% = (180 / 720) * 100% = 25%
Therefore, the answer is (C) 25%.
11 . A trader sells an article at a loss of 10%. If he had sold it for $70 more, he would have made a profit of 10%. What is the cost price of the article?
A) $400
B) $500
C) $600
D) $700
Explanation: Let the cost price be x. The selling price with a 10% loss is 0.9x. If the trader had sold it for $70 more, the selling price would be 1.1x. We can write the following equation based on the given information:
1.1x – 0.9x = 70
Solving for x, we get x = $500. Therefore, the answer is (B) $500.
12 . A man sells an article at a profit of 25%. If he had sold it for $80 less, he would have made a profit of 10%. What is the cost price of the article?
A) $320
B) $360
C) $400
D) $480
Explanation: Let the cost price be x. The selling price with a 25% profit is 1.25x. If he had sold it for $80 less, the selling price would be 1.1x. We can write the following equation based on the given information:
1.25x – 1.1x = 80
Solving for x, we get x = $400. Therefore, the answer is (C) $400.
13 . A man bought an article for $600 and sold it at a profit of 20%. What is the selling price of the article?
A) $720
B) $680
C) $660
D) $720
Explanation: The profit percentage is 20%, so the selling price is 1.2 times the cost price. Therefore, the selling price is 1.2 * 600 = $720. Therefore, the answer is (A) $720.
14 . A trader bought an article for $1,200 and sold it for $1,000. What is his loss percentage?
A) 10%
B) 16.67%
C) 20%
D) 25%
Explanation: The loss is the difference between the cost price and the selling price.
Loss = Cost price – Selling price = $1,200 – $1,000 = $200
Loss percentage = (loss / cost price) * 100% = (200 / 1,200) * 100% = 16.67%
Therefore, the answer is (B) 16.67%.
15 . A shopkeeper marked the price of an article 25% above the cost price. He then gave a discount of 20% on the marked price. What is his profit percentage?
A) 2.5%
B) 3%
C) 4%
D) 5%
Explanation: Let the cost price be x. The marked price is 1.25x. After offering a 20% discount, the selling price becomes 0.8 * 1.25x = x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (x – x/1.25) / x * 100% = 4%. Therefore, the answer is (C) 4%.
16 . A man sold an article for $1,800, which was a profit of 20%. What was the cost price of the article?
A) $1,500
B) $1,600
C) $1,700
D) $1,800
Explanation: Let the cost price be x. Since the man sold the article at a profit of 20%, the selling price is 1.2x.
1.2x = $1,800
x = $1,500
Therefore, the answer is (A) $1,500.
17 . A trader marked the price of an article 20% above the cost price. He then gave a discount of 10% on the marked price. What is his profit percentage?
A) 8%
B) 10%
C) 12%
D) 14%
Explanation: Let the cost price be x. The marked price is 1.2x. After offering a 10% discount, the selling price becomes 0.9 * 1.2x = 1.08x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.08x – x) / x * 100% = 8%. Therefore, the answer is (A) 8%.
18 . A man sold an article for $4,000, which was a loss of 20%. What was the cost price of the article?
A) $3,200
B) $4,000
C) $5,000
D) $5,600
Explanation: Let the cost price be x. Since the man sold the article at a loss of 20%, the selling price is 0.8x.
0.8x = $4,000
x = $5,000
Therefore, the answer is (C) $5,000.
19 . A trader sold an article for $2,880, which was a profit of 20%. What was the cost price of the article?
A) $2,000
B) $2,200
C) $2,400
D) $2,500
Explanation: Let the cost price be x. Since the trader sold the article at a profit of 20%, the selling price is 1.2x.
1.2x = $2,880
x = $2,400
Therefore, the answer is (C) $2,400.
20 . A man sold an article for $1,000, which was a profit of 25%. What was the cost price of the article?
A) $750
B) $800
C) $850
D) $900
Explanation: Let the cost price be x. Since the man sold the article at a profit of 25%, the selling price is 1.25x.
1.25x = $1,000
x = $800
Therefore, the answer is (B) $800.
21 . A trader marked the price of an article 30% above the cost price. He then gave a discount of 15% on the marked price. What is his profit percentage?
A) 10%
B) 12%
C) 14%
D) 16%
Explanation: Let the cost price be x. The marked price is 1.3x. After offering a 15% discount, the selling price becomes 0.85 * 1.3x = 1.105x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.105x – x) / x * 100% = 10%. Therefore, the answer is (A) 10%.
22 . A man sold an article for $1,200, which was a loss of 20%. What was the cost price of the article?
A) $1,440
B) $1,500
C) $1,600
D) $1,800
Explanation: Let the cost price be x. Since the man sold the article at a loss of 20%, the selling price is 0.8x.
0.8x = $1,200
x = $1,500
Therefore, the answer is (B) $1,500.
23 . A trader bought an article for $4,800 and sold it at a profit of 25%. What is the selling price of the article?
A) $5,600
B) $6,000
C) $6,200
D) $6,400
Explanation: The profit percentage is 25%, so the selling price is 1.25 times the cost price. Therefore, the selling price is 1.25 * 4,800 = $6,000. Therefore, the answer is (B) $6,000.
24 .A man bought an article for $2,000 and sold it at a loss of 10%. What is the selling price of the article?
A) $1,800
B) $1,900
C) $2,000
D) $2,100
Explanation: The loss percentage is 10%, so the selling price is 0.9 times the cost price. Therefore, the selling price is 0.9 * 2,000 = $1,800. Therefore, the answer is (A) $1,800.
25 . A trader marked the price of an article 25% above the cost price. He then gave a discount of 12.5% on the marked price. What is his profit percentage?
A) 9%
B) 10%
C) 11%
D) 12%
Explanation: Let the cost price be x. The marked price is 1.25x. After offering a 12.5% discount, the selling price becomes 0.875 * 1.25x = 1.09375x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.09375x – x) / x * 100% = 9%. Therefore, the answer is (A) 9%.
26 . A man sold an article for $1,500, which was a profit of 20%. What was the cost price of the article?
A) $1,000
B) $1,200
C) $1,250
D) $1,350
Explanation: Let the cost price be x. Since the man sold the article at a profit of 20%, the selling price is 1.2x.
1.2x = $1,500
x = $1,250
Therefore, the answer is (C) $1,250.
27 . A trader sold an article for $2,400, which was a loss of 20%. What was the cost price of the article?
A) $3,000
B) $3,200
C) $3,600
D) $4,000
Explanation: Let the cost price be x. Since the trader sold the article at a loss of 20%, the selling price is 0.8x.
0.8x = $2,400
x = $3,000
Therefore, the answer is (A) $3,000.
28 . A man sold an article for $1,800, which was a profit of 10%. What was the cost price of the article?
A) $1,500
B) $1,600
C) $1,650
D) $1,700
Explanation: Let the cost price be x. Since the man sold the article at a profit of 10%, the selling price is 1.1x.
1.1x = $1,800
x = $1,636.36 (rounded to the nearest cent)
Therefore, the answer is closest to (C) $1,650.
29 . A trader sold an article at a loss of 10%. If the selling price was $2,700, what was the cost price of the article?
A) $3,000
B) $3,200
C) $3,500
D) $3,750
Explanation: Let the cost price be x. Since the trader sold the article at a loss of 10%, the selling price is 0.9x.
0.9x = $2,700
x = $3,000
Therefore, the answer is (A) $3,000.
30 . A man bought an article for $1,500 and sold it at a profit of 25%. What is the selling price of the article?
A) $1,875
B) $1,875.50
C) $1,900
D) $1,925
Explanation: The profit percentage is 25%, so the selling price is 1.25 times the cost price. Therefore, the selling price is 1.25 * $1,500 = $1,875. Therefore, the answer is (A) $1,875.
31 . A trader marked the price of an article 20% above the cost price. He then gave a discount of 20% on the marked price. What is his profit percentage?
A) 0%
B) 4%
C) 8%
D) 12%
Explanation: Let the cost price be x. The marked price is 1.2x. After offering a 20% discount, the selling price becomes 0.8 * 1.2x = 0.96x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (0.96x – x) / x * 100% = -4%. Therefore, the answer is (A) 0%.
32 . A man sold an article at a loss of 20%. If the selling price was $2,400, what was the cost price of the article?
A) $2,800
B) $3,000
C) $3,200
D) $3,600
Explanation: Let the cost price be x. Since the man sold the article at a loss of 20%, the selling price is 0.8x.
0.8x = $2,400
x = $3,000
Therefore, the answer is (B) $3,000.
33.A trader bought an article for $1,000 and sold it at a loss of 10%. What is the selling price of the article?
A) $900
B) $950
C) $1,000
D) $1,100
Explanation: The loss percentage is 10%, so the selling price is 0.9 times the cost price. Therefore, the selling price is 0.9 * $1,000 = $900. Therefore, the answer is (A) $900.
34. A man sold an article for $2,500 at a profit of 25%. What was the cost price of the article?
A) $1,875
B) $2,000
C) $2,100
D) $2,200
Explanation: Let the cost price be x. The profit percentage is 25%, so the selling price is 1.25 times the cost price.
1.25x = $2,500
x = $2,000
Therefore, the answer is (B) $2,000.
35. A trader marked the price of an article 25% above the cost price. He then gave a discount of 10% on the marked price. What is his profit percentage?
A) 11%
B) 12%
C) 13%
D) 14%
Explanation: Let the cost price be x. The marked price is 1.25x. After offering a 10% discount, the selling price becomes 0.9 * 1.25x = 1.125x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.125x – x) / x * 100% = 12.5%. Therefore, the answer is (B) 12%.
36 . A man sold an article at a profit of 25%. If the selling price was $1,875, what was the cost price of the article?
A) $1,500
B) $1,600
C) $1,750
D) $1,800
Explanation: Let the cost price be x. The profit percentage is 25%, so the selling price is 1.25 times the cost price.
1.25x = $1,875
x = $1,500
Therefore, the answer is (A) $1,500.
37 . A man sold an article at a loss of 20%. If the selling price was $800, what was the cost price of the article?
A) $1,000
B) $960
C) $1,040
D) $1,200
Explanation: Let the cost price be x. The loss percentage is 20%, so the selling price is 0.8 times the cost price.
0.8x = $800
x = $1,000
Therefore, the answer is (A) $1,000.
38 . A trader sold an article for $3,000 at a profit of 20%. What was the cost price of the article?
A) $2,000
B) $2,400
C) $2,500
D) $2,600
Explanation: Let the cost price be x. The profit percentage is 20%, so the selling price is 1.2 times the cost price.
1.2x = $3,000
x = $2,500
Therefore, the answer is (C) $2,500.
39 . A trader marked the price of an article 40% above the cost price. He then gave a discount of 20% on the marked price. What is his profit percentage?
A) 16%
B) 20%
C) 24%
D) 28%
Explanation: Let the cost price be x. The marked price is 1.4x. After offering a 20% discount, the selling price becomes 0.8 * 1.4x = 1.12x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.12x – x) / x * 100% = 12%. Therefore, the answer is (A) 16%.
40 . A man bought an article for $1,500 and sold it for $2,000. What is his profit percentage?
A) 10%
B) 20%
C) 25%
D) 33.33%
Explanation: The profit is $500. Profit percentage = profit / cost price * 100%. Substituting the values, we get 500 / 1,500 * 100% = 33.33%. Therefore, the answer is (D) 33.33%.
41 . A trader bought an article for $2,000 and sold it for $1,800. What is his loss percentage?
A) 10%
B) 11%
C) 12%
D) 13.33%
Explanation: The loss is $200. Loss percentage = loss / cost price * 100%. Substituting the values, we get 200 / 2,000 * 100% = 10%. Therefore, the answer is (A) 10%.
42 . A man sold an article at a profit of 25%. If the selling price was $2,500, what was the cost price of the article?
A) $1,800
B) $2,000
C) $2,100
D) $2,200
Explanation: Let the cost price be x. The profit percentage is 25%, so the selling price is 1.25 times the cost price.
1.25x = $2,500
x = $2,000
Therefore, the answer is (B) $2,000.
43 . A trader marked the price of an article 20% above the cost price. He then gave a discount of 5% on the marked price. What is his profit percentage?
A) 14%
B) 15%
C) 16%
D) 17%
Explanation: Let the cost price be x. The marked price is 1.2x. After offering a 5% discount, the selling price becomes 0.95 * 1.2x = 1.14x. Profit percentage = (selling price – cost price) / cost price * 100%. Substituting the values, we get (1.14x – x) / x * 100% = 14%. Therefore, the answer is (A) 14%.
44 . A man sold an article for $3,000 at a loss of 20%. What was the cost price of the article?
A) $2,400
B) $2,800
C) $3,200
D) $3,600
Explanation: Let the cost price be x. The loss percentage is 20%, so the selling price is 0.8 times the cost price.
0.8x = $3,000
x = $3,750
Therefore, the answer is (D) $3,600.
45 . A trader bought an article for $800 and sold it for $1,000. What is his profit percentage?
A) 10%
B) 15%
C) 20%
D) 25%
Explanation: The profit is $200. Profit percentage = profit / cost price * 100%. Substituting the values, we get 200 / 800 * 100% = 25%. Therefore, the answer is (D) 25%.
46 . A man sold two articles for $5,000 each. On one article, he gains 20% and on the other, he loses 20%. What is his overall gain or loss percentage?
A) 4% loss
B) 4% gain
C) No gain no loss
D) 2% gain
Explanation: Let the cost price of each article be $x. On one article, he gains 20% and sells it for $5,000. So, the selling price of that article is 1.2x. On the other article, he loses 20% and sells it for $5,000. So, the selling price of that article is 0.8x. The total cost price is 2x and the total selling price is 1.2x + 0.8x = 2x. Therefore, there is no overall gain or loss. Hence, the answer is (C) No gain no loss.
47 . .A shopkeeper sells an article for $720 and makes a profit of 20%. What would be his profit percentage if he had sold it for $600?
A) 12.5%
B) 16.67%
C) 20%
D) 25%
Explanation: Let the cost price be x. The selling price of the article is $720 and the profit is 20%, so the cost price is x = 720 / 1.2 = $600. If the selling price is also $600, then there is no profit, so the profit percentage would be 0%. Therefore, the answer is (C) 20%.
48 . A man sold an article at a loss of 20%. If the selling price was $2,400, what was the cost price of the article?
A) $2,400
B) $3,000
C) $3,200
D) $3,600
Explanation: Let the cost price be x. The selling price is $2,400 and the loss is 20%, so the cost price is x = 2,400 / 0.8 = $3,000. Therefore, the answer is (B) $3,000.
49 . A merchant sold two items for $4,800 each. He made a profit of 25% on the first item and a loss of 25% on the second item. What is his overall profit or loss percentage?
A) 6.25% loss
B) 6.25% profit
C) No profit no loss
D) 12.5% loss
Explanation: Let the cost price of each item be $x. On the first item, he makes a profit of 25%, so the selling price is 1.25x. On the second item, he incurs a loss of 25%, so the selling price is 0.75x. The total cost price is 2x and the total selling price is 1.25x + 0.75x = 2x. Therefore, there is no overall profit or loss. Hence, the answer is (C) No profit no loss.
50 . A man bought an article for $800 and sold it for $750. What is his loss percentage?
A) 5%
B) 6.25%
C) 10%
D) 12.5%
Explanation: The loss is $50. Loss percentage = loss / cost price * 100%. Substituting the values, we get 50 / 800 * 100% = 6.25%. Therefore, the answer is (B) 6.25%.