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- Question
- A man purchases two clocks A and B at a total cost of Rs. 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing price of A and B, respectively?
Options- A. Rs. 225, Rs 425
- B. Rs. 250, Rs. 400
- C. Rs. 275, Rs. 375
- D. Rs. 300, Rs. 350
- Correct Answer
- Rs. 250, Rs. 400
ExplanationLet the cost price of watch A = Rs. N
Then, cost price of watch B = Rs. (650 - N)
Now, selling price of watch A = (120 x N) / 100 = Rs. 6N/5
Also, selling price of watch B = (650 - N) x (75/100) = Rs. {3 x (650 - N)}/4
As, according to the question, two selling prices are equal.
? 6N/5 = {3 x (650 - N)}/4
? 8N = 5 x (650 - N)
? 8N + 5N = 5 x 650
? 13N = 5 x 650
? N = (5 x 650)/13 = 250
? Cost price of watch A = Rs. 250
and cost price of watch B = (650 - 250) = Rs. 400 - 1. A man sold two books at Rs. 24 each, on one he got a profit of 20% and on other, he lost 20% . On the whole, he?
Options- A. loss Rs. 1
- B. gained Rs. 1
- C. lost Rs. 2
- D. gained Rs. 2 Discuss
- 2. A furniture seller sells two tables at Rs. 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is?
Options- A. 4% loss
- B. 4% profit
- C. Neither loss nor profit
- D. 10% loss Discuss
- 3. On selling an article for Rs. 64 one loses 20% . In order to gain 20%, what should be the selling price?
Options- A. Rs. 96
- B. Rs. 98
- C. Rs. 94
- D. Rs. 99 Discuss
- 4. Ramesh buys 2 articles for Rs. 600. He sells on them at a profit of 22% and other at a loss of 8% and makes no profit or loss at the end. What is the cost of the article he sold at a loss?
Options- A. Rs. 400
- B. Rs. 420
- C. Rs. 440
- D. None of these Discuss
- 5. A man sold an article at a loss of 25% . If he sells the article for Rs. 21 more, he would have got a gain of 10% . The CP of the article is?
Options- A. Rs. 56
- B. Rs. 84
- C. Rs. 60
- D. Rs. 92 Discuss
- 6. A property dealer sells a house for Rs. 630000 and in the bargain makes a profit of 5% . Had he sold it for Rs. 500000, then what percentage of loss or gain he would have made?
Options- A. 15% loss
- B. 15% gain
- C. 162/3% gain
- D. 162/3% loss Discuss
- 7. If a person makes a profit of 10% on 1/4 th of the quantity sold and a loss of 20% on the rest, then what is his average percent profit or loss?
Options- A. 12.5% Profit
- B. 11.25% loss
- C. 11.75% Profit
- D. 12.5% loss Discuss
- 8. A man sells 16 mangoes at a cost price of 20 mangoes, then percentage of his gain is?
Options- A. 18%
- B. 20%
- C. 25%
- D. 16% Discuss
- 9. 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
- 10. 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
Profit and Loss problems
Search Results
Correct Answer: lost Rs. 2
Explanation:
SP of first book = Rs. 24, gain = 20%
CP of first book = (100/120) x 24 = Rs. 20
SP of second book = Rs. 24, loss = 20%
CP of second book = (100/80) x 24 = Rs. 30
Total CP = (20 + 30) = 50
Total SP = (24 x 2) = Rs. 48
Loss = (50 - 48) = Rs. 2
So, on the whole, there is a loss of Rs. 2
Correct Answer: 4% loss
Explanation:
Overall loss % = (a2/100) % = (202/100) % = 4%
Thus, seller gets 4% loss in the deal.
Correct Answer: Rs. 96
Explanation:
Let the cost price = Rs. N, loss = 20% and SP = Rs. 64
N = (100/80) x 64 = Rs. 80
Now, CP = Rs. 80, and gain = 20%
so SP = (120/100) x 80 = Rs. 96
Correct Answer: Rs. 440
Explanation:
Let CP of first article = Rs. x
CP of second article = Rs. (600 - x)
SP of first article = Rs. (122x / 100)
SP of second article = Rs. [92(600 - x)/100]
? {122x/100} + {92(600 - x)/100} = 600
? 122x - 92x = 60000 - 92 x 600
? 30x = 4800
? x = 160
? CP of the article sold at a loss = (600 - x) = Rs 440
Correct Answer: Rs. 60
Explanation:
Let CP Rs. x
Then, (110x / 100) - (75x / 100) = 21
? 35x = 2100
? x = Rs. 60
Correct Answer: 162/3% loss
Explanation:
SP = Rs. 63000, Profit = 5%
? CP =Rs. (100/105) x 63000 = Rs. 600000
If SP would have been Rs. 500000, then there would have been a loss of 162/3% .
Correct Answer: 12.5% loss
Explanation:
Suppose CP = Rs. 100
? Gain on Rs. 25 = Rs. 2.50
? SP = Rs. 27.50
Loss on Rs. 75 = Rs. 15
? SP = Rs. 60
? Total SP = 60 + 27.50 = Rs. 87.50
? Loss = Rs. 12.50 i.e. 12.5% loss.
Correct Answer: 25%
Explanation:
Let the cost price of 20 mangoes = Rs. N
CP of 1 mango = Rs. N/20
SP of 1 mango = Rs. N/16
Gain = SP - CP = N/16 - N/20 = Rs. N/80
Gain percentage = {(N/80) / (N/20)} x 100 % = 25%
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: 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%
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