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- Question
- A person bought two articles for ? 1500 and ? 1000 respectively one he sold at a gain of 20%. At what price should he sell the other to get a profit of 16% on the whole transaction?
Options- A. ? 1100
- B. ? 1200
- C. ? 1150
- D. ? 1250
- Correct Answer
- ? 1100
ExplanationCP of first article is ? 1500, Gain=20%
SP of first article = (120/100) x 1500 = ? 1800
Total CP = 1500 + 1000 = ? 2500
Total gain = 16%
Total SP = (116/100) x 2500 = ? 2900
SP of second article = (2900 - 1800) = ? 1100
Thus, he should sell the second article at ? 1100. - 1. If 7 kg of tea of price ? 72 per kg is blended with 33 kg of tea of ? 87 per kg and 35 kg of ? 85 per kg and the mixture is sold at 15% profit, then what is the selling price of the mixture?
Options- A. ? 80.66 per kg
- B. ? 102.33 per kg
- C. ? 91.22 per kg
- D. ?. 97.37 per kg Discuss
- 2. A person purchases 100 pens at a discount of 10% . The net amount of money spent by the person to purchase the pens is ? 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25%?
Options- A. ?802.50
- B. ? 811.25
- C. ? 862.50
- D. ? 875 Discuss
- 3. A man buys two hens for Rs. 500 each. He sod one for 15% profit and other for 5% loss. Find his profit percentage?
Options- A. 5%
- B. 10%
- C. 15%
- D. 12% Discuss
- 4. Ram bought 800 eggs at Rs. 3.75 each per dozen. He sold 450 of them at 2 for Rs. 1 and remaining at 5 for Rs. 2. His gain % is?
Options- A. 28%
- B. 46%
- C. 36%
- D. 14% Discuss
- 5. If the cost price of 12 pencils is equal to sale price of 10 pencils, then find the gain or loss as a percentage of the sell price?
Options- A. 20% gain
- B. 10% gain
- C. 20% gain
- D. 15% loss Discuss
- 6. A manufacturer of a certain item can sell all he can produce at the selling price of ? 60 each. It costs him ? 40 in materials and labour to produce each item and he has overhead expanses of ? 3000 per week in order to operate that plant. The number of units he should produce and sell in order to make a profit of atleast ? 1000 per week, is?
Options- A. 400
- B. 300
- C. 250
- D. 200 Discuss
- 7. A sold an article to B at a profit of 10% and B sells it to C at a loss of 10% of C paid 2079. How much money was paid by A?
Options- A. ? 2100
- B. ? 2400
- C. ? 2160
- D. ? 2480 Discuss
- 8. A showroom owner sells a leather jacket for ? P and claims to make a profit of 10%. He plans to have stall in the trade fair and marks the same jacket at ? 2P, at the stall, he allows a discount of 20%. What will be the percentage profit that he will make at the trade fair?
Options- A. 80%
- B. 60%
- C. 76%
- D. None of these Discuss
- 9. Mr X bought a music system with 20% discount on the labelled price. Had he bought it with 25% discount, he would have saved ? 500. At what price did he buy the music system?
Options- A. ? 16000
- B. ? 12000
- C. ? 10000
- D. None of these Discuss
- 10. A shopkeeper sold an article for ? 6750 after giving a discount of 10% on the labelled price. He would have earned a profit of 50%, had there been no discount. What was the actual percentage of profit earned?
Options- A. 36%
- B. 40%
- C. 35%
- D. None of these Discuss
Profit and Loss problems
Search Results
Correct Answer: ?. 97.37 per kg
Explanation:
CP per kg of the mixture = (w1x1 + w2x2 + w3x3) / (w1 + w2 + w3)
= (7 x 72 + 33 x 87 + 35 x 85)/75
= (504 + 2871 + 2975)/75 = 6350/75 = ? 84.66
Profit = 15%
? SP per kg = ? 84.66 + 15% of ? 84.66
= ? 97.37
Correct Answer: ? 862.50
Explanation:
Total cost price = 600 + 15% of 600
= 600 + (600 x 15)/100 = ?690
Profit = 25%
SP = CP(100 + Profit/100)
= 690{(100 + 25)/100} = (690 x 125) / 100
= ? 862.50
Correct Answer: 5%
Explanation:
SP. of first hen = (115/100) x 500 = Rs. 575
SP of second hen = (95/100) x 500 = Rs. 475
Total SP = 575 + 475 = Rs. 1050
Total CP = 2 x 500 = Rs. 1000
Gain = SP - CP = (1050 - 1000) = Rs. 50
Gain percentage = (50/1000) x 100 = 5%
Correct Answer: 46%
Explanation:
Total CP = (3.75/12) x 800 = (375/1200) x 800 = Rs. 250
Total SP = (1/2) x 450 + (2/5) x 350 = 225 + 140 = Rs. 365
Gain = 365 - 250 = Rs. 115
Gain percentage = (115/250) x 100% = 46%
Correct Answer: 20% gain
Explanation:
CP of 12 pencils = Rs. 12
? SP of 10 pencils = Rs.12
? SP of 12 Pencils = (12/10) x 12 = Rs.14.40
? Gain per cent = {(14.40 - 12)/12} x 100 = 20%
Correct Answer: 200
Explanation:
Suppose the manufacturer should product produce x items.
? 60x - (40x + 3000) = 1000
? 20x = 4000
? x = 200
Correct Answer: ? 2100
Explanation:
Amount paid by B = ?110
Amount paid by C = 110 x 90/100 = ? 99
Then, If C paid ? 99 then, A paid ? 100.
If C paid ? 2079, then A paid = 2079 x (100/99) = ? 2100
Correct Answer: 76%
Explanation:
SP at the stall at the trade fair = 2P - 20% of 2P = 8P/5
CP of the jacket = (P x 100)/(100 + 10) = 10P/11
? profit = 8P/5 - 10/11 = 38P/55
? Profit per cent made at the trade fair = [(38P/55) / (10P/11)]x 100
= (38/5) x (1/10) x 100
= 76%
Correct Answer: None of these
Explanation:
Let the actual price of music system = ? P
The cost of music system to Mr. P after 20% discount= (80/100) x P = 4P/5
Cost of music system to Mr P after 25% discount = (75/100) x P = 3P/4
Then according to the question,
4P/5 - 3P/4 = 500
? (16P - 15P)/20 = 500
? P = 20 x 500 = 10000
? Cost of music system at 20% discount = (80 x 10000)/100 = ?8000
Correct Answer: 35%
Explanation:
Market price = ? P
and SP = P -10% of P = 9P/10
? 9P/10 = 6750
? P = 7500
If SP = ? Rs.7500, then the CP would have been Rs.5000 due to 50% profit earned by the Shopkeeper.
? Actual percentage of profit by selling the article for ? 6750
= [(SP - CP)/CP] x 100 = [(6750 - 5000)/5000] x 100
= (1750/5000) x 100
= 35%
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