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- Question
- A dishonest dealer sells his goods at 10% loss on cost price but uses 20% less weight. What is his profit or loss per cent?
Options- A. 12% loss
- B. 22.5% gain
- C. 13.9% loss
- D. 12.5% gain
- Correct Answer
- 12.5% gain
ExplanationHere, a = 10% and b = 20%
According to the formula,
Required answer= [b ± a/(100 - b)] x 100 %
= (20 - 10)/(100 - 20 ) x 100%
= (10/80) x 100% = 12.5 % gain
+ ve sign show that profit is earned here. - 1. If the cost of price of 16 pens is equal to the selling price of 12 pens, then the gain or loss per cent is
Options- A. 331/3%
- B. 25% gain
- C. 25% loss
- D. 331/3% loss Discuss
- 2. By selling 100 pens, a shopkeeper gains the selling price of 40 pens. Find his gain percent.
Options- A. 4.47%
- B. 6.67%
- C. 8.8%
- D. 5.59% Discuss
- 3. A person purchased 11 articles for ? 10 and sells at 10 articles for ? 11. Find the gain percentage.
Options- A. 22
- B. 20
- C. 1
- D. 21 Discuss
- 4. Pens are bought at 5 for ? 4 and sold at 4 for ? 5. Find the gain per cent.
Options- A. 55%
- B. 45.26%
- C. 56.26%
- D. 60% Discuss
- 5. A producer of a tea blends two varieties of tea from tea gardens one costing ? 18 per kg and another ? 20 kg in the ratio 5 : 3. If he sells the blended variety at ? 21 per kg, then his gain percentage is
Options- A. 18
- B. 8
- C. 10
- D. 12 Discuss
- 6. A trader sells wheat at 20% profit and uses weight 20% less than the actual measure. His gain per cent is?
Options- A. 35%
- B. 38%
- C. 48%
- D. 50% Discuss
- 7. A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss per cent?
Options- A. 284/7 % loss
- B. 283/7 % gain
- C. 283/7 % loss
- D. 284/7 % gain Discuss
- 8. A dishonest dealer professes to sell his goods at cost price but he uses a weight of 920 g for 1 kg weight. Find his gain per cent
Options- A. 716/23 %
- B. 816/23 %
- C. 516/23 %
- D. 316/23 % Discuss
- 9. A dealer sells goods at 4% loss on cost price but he uses 28 g instead of 32 g. What is his per cent profit or loss?
Options- A. 95/7 % gain
- B. 143/7 % loss
- C. 163/7 % gain
- D. 163/7 % loss Discuss
- 10. If the cost price of 20 articles is equal to the selling price of 15 articles, find the profit per cent.
Options- A. 331/2 %
- B. 331/3 %
- C. 331/5 %
- D. 331/7 % Discuss
Profit and Loss problems
Search Results
Correct Answer: 331/3%
Explanation:
Here, a = 16, b = 12
According to the formula,
Required gain percent = [(a - b)/b] x 100
= [(16 - 12)/12] x 100
= (4/12) x 100
= 331/3% (gain)
Correct Answer:
Explanation:
(SP of 100 pens) - (CP of 100 pens) = SP of 40 pens
? SP of 60 pens = CP of 100 pens.
Let CP of each pen = ? 1
Then, CP of 60 pens = ? 60
SP of 60 pens = ? 100
Gain = 100 - 60 = ? 40
? Gain % = (40/60) x 100 % = 66.67%
Correct Answer: 21
Explanation:
Cost price of 11 Articles = 10
Cost price of 1 Article = 10/11
and SP of 10 Articles = 11
? SP of 1 Article = 11/10
Now, gain = (11/10) - (10//11)
= (121 - 100)/110 = 21/110
And gain% = [(21/110) / (10/11)] x 100
= (21 x 11)/11 = 21
Correct Answer: 56.26%
Explanation:
Let the number of pens bought = 5 x 4 = 20
Then, CP = (4/5) x 20 = ? 16
and SP = (5/4) x 20 = ? 25
? Gain = 25 - 16 = ? 9
Gain % = (9/16) x 100% = 56.25%
Correct Answer: 12
Explanation:
Let quantities of two types of tea costing ? 18 per kg and ? 20 per kg be 5W kg and 3W kg. respectively.
Then, CP of tea = (18 x 5W) + (20 x 3W)
= 90W + 60W = 150W
SP of tea = 21 x 8W = 168W
Profit percent = [(168W - 150W) / 150W] x 100%
= (18/150) x 100% = 12%
Correct Answer: 50%
Explanation:
Let the market weight = 1 kg = 1000 g
Real weight = 80% of 1000 = 800 g
Let the CP of 1 g = ? 1
? CP of 800 g = ? 800,
CP of 1000 g = ? 1000
SP = 120% of 1000 = (120/100) x 1000 = ? 1200
Gain = 1200 - 800 = ? 400
? Gain % = (400/800) x 100% = 50%
Correct Answer: 284/7 % gain
Explanation:
Given that, a = 10% and b = 30%
According to the formula,
Required per cent = [(b - a)/(100 - b)] x 100
= [(30 - 10)/(100 - 30)] x 100
= (20/70) x 100 = 200/7%
= 284/7% profit
Correct Answer: 816/23 %
Explanation:
According to the formula,
Gain% = [Error / (True value - Error)] x 100%
= [80/(100 - 80)] x 100%
= (80/920) x 100%
= 816/23 %
Correct Answer: 95/7 % gain
Explanation:
Given that, a = 4%, b = 28 g and c = 32 g
Required profit = [(100 - a) x (c/b) -100] %
=[(100 - 4) x (32/28) - 100] %
= [96 x (32/28) - 100]%
= [(96 x 8)/7 - 100]%
= (768 - 700)/7 %
= 68/7 %
= 95/7 % gain
+ ve sign shows that profit is earned here.
Correct Answer: 331/3 %
Explanation:
Given that, a = 20 and b = 15
According to the formula,
Profit %= [(a - b) / b] x 100 %
= (5/15) x 100% = 100/3 %
= 331/3%
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